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Finding the Fourth Proportional to 3,731.69, 5,593.43 and 1,539.22

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Solution

The fourth proportional to 3,731.69, 5,593.43 and 1,539.22 is: 2,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.69 : 5,593.43 = 1,539.22 : x
  2. Step 2: Convert to fraction form
    3,731.69/5,593.43 = 1,539.22/x
  3. Step 3: Cross multiply
    3,731.69x = 5,593.43 × 1,539.22
  4. Step 4: Simplify right side
    3,731.69x = 8,609,519.32
  5. Step 5: Solve for x
    x = 8,609,519.32/3,731.69
  6. Step 6: Final answer
    x = 2,307.14

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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.