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Finding the Fourth Proportional to 5,782,647.60, 8,673,971.40 and 3,645,802.80

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Solution

The fourth proportional to 5,782,647.60, 8,673,971.40 and 3,645,802.80 is: 5,468,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782,647.60 : 8,673,971.40 = 3,645,802.80 : x
  2. Step 2: Convert to fraction form
    5,782,647.60/8,673,971.40 = 3,645,802.80/x
  3. Step 3: Cross multiply
    5,782,647.60x = 8,673,971.40 × 3,645,802.80
  4. Step 4: Simplify right side
    5,782,647.60x = 31,623,589,217,239.92
  5. Step 5: Solve for x
    x = 31,623,589,217,239.92/5,782,647.60
  6. Step 6: Final answer
    x = 5,468,704.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.