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Finding the Fourth Proportional to 3,731.78, 5,598.30 and 1,539.30

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Solution

The fourth proportional to 3,731.78, 5,598.30 and 1,539.30 is: 2,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.78 : 5,598.30 = 1,539.30 : x
  2. Step 2: Convert to fraction form
    3,731.78/5,598.30 = 1,539.30/x
  3. Step 3: Cross multiply
    3,731.78x = 5,598.30 × 1,539.30
  4. Step 4: Simplify right side
    3,731.78x = 8,617,463.19
  5. Step 5: Solve for x
    x = 8,617,463.19/3,731.78
  6. Step 6: Final answer
    x = 2,309.21

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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.