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Finding the Fourth Proportional to 5,794,649.20, 8,691,973.80 and 4,282,994.80

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Solution

The fourth proportional to 5,794,649.20, 8,691,973.80 and 4,282,994.80 is: 6,424,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794,649.20 : 8,691,973.80 = 4,282,994.80 : x
  2. Step 2: Convert to fraction form
    5,794,649.20/8,691,973.80 = 4,282,994.80/x
  3. Step 3: Cross multiply
    5,794,649.20x = 8,691,973.80 × 4,282,994.80
  4. Step 4: Simplify right side
    5,794,649.20x = 37,227,678,587,136.24
  5. Step 5: Solve for x
    x = 37,227,678,587,136.24/5,794,649.20
  6. Step 6: Final answer
    x = 6,424,492.20

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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.