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Finding the Fourth Proportional to 4,136.47, 5,713.28 and 3,015.61

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Solution

The fourth proportional to 4,136.47, 5,713.28 and 3,015.61 is: 4,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.47 : 5,713.28 = 3,015.61 : x
  2. Step 2: Convert to fraction form
    4,136.47/5,713.28 = 3,015.61/x
  3. Step 3: Cross multiply
    4,136.47x = 5,713.28 × 3,015.61
  4. Step 4: Simplify right side
    4,136.47x = 17,229,024.30
  5. Step 5: Solve for x
    x = 17,229,024.30/4,136.47
  6. Step 6: Final answer
    x = 4,165.15

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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.