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Finding the Fourth Proportional to 5,802.60, 8,679.60 and 4,927.80

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Solution

The fourth proportional to 5,802.60, 8,679.60 and 4,927.80 is: 7,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.60 : 8,679.60 = 4,927.80 : x
  2. Step 2: Convert to fraction form
    5,802.60/8,679.60 = 4,927.80/x
  3. Step 3: Cross multiply
    5,802.60x = 8,679.60 × 4,927.80
  4. Step 4: Simplify right side
    5,802.60x = 42,771,332.88
  5. Step 5: Solve for x
    x = 42,771,332.88/5,802.60
  6. Step 6: Final answer
    x = 7,371.06

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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.