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Finding the Fourth Proportional to 4,061.52, 6,092.24 and 983.52

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Solution

The fourth proportional to 4,061.52, 6,092.24 and 983.52 is: 1,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.52 : 6,092.24 = 983.52 : x
  2. Step 2: Convert to fraction form
    4,061.52/6,092.24 = 983.52/x
  3. Step 3: Cross multiply
    4,061.52x = 6,092.24 × 983.52
  4. Step 4: Simplify right side
    4,061.52x = 5,991,839.88
  5. Step 5: Solve for x
    x = 5,991,839.88/4,061.52
  6. Step 6: Final answer
    x = 1,475.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.