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Finding the Fourth Proportional to 5,747.47, 7,929.53 and 3,733.40

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Solution

The fourth proportional to 5,747.47, 7,929.53 and 3,733.40 is: 5,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.47 : 7,929.53 = 3,733.40 : x
  2. Step 2: Convert to fraction form
    5,747.47/7,929.53 = 3,733.40/x
  3. Step 3: Cross multiply
    5,747.47x = 7,929.53 × 3,733.40
  4. Step 4: Simplify right side
    5,747.47x = 29,604,107.30
  5. Step 5: Solve for x
    x = 29,604,107.30/5,747.47
  6. Step 6: Final answer
    x = 5,150.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.