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Finding the Fourth Proportional to 5,737.30, 8,606.13 and 2,039.47

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Solution

The fourth proportional to 5,737.30, 8,606.13 and 2,039.47 is: 3,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.30 : 8,606.13 = 2,039.47 : x
  2. Step 2: Convert to fraction form
    5,737.30/8,606.13 = 2,039.47/x
  3. Step 3: Cross multiply
    5,737.30x = 8,606.13 × 2,039.47
  4. Step 4: Simplify right side
    5,737.30x = 17,551,943.95
  5. Step 5: Solve for x
    x = 17,551,943.95/5,737.30
  6. Step 6: Final answer
    x = 3,059.27

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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.