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Finding the Fourth Proportional to 5,159.24, 7,754.22 and 2,425.16

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Solution

The fourth proportional to 5,159.24, 7,754.22 and 2,425.16 is: 3,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.24 : 7,754.22 = 2,425.16 : x
  2. Step 2: Convert to fraction form
    5,159.24/7,754.22 = 2,425.16/x
  3. Step 3: Cross multiply
    5,159.24x = 7,754.22 × 2,425.16
  4. Step 4: Simplify right side
    5,159.24x = 18,805,224.18
  5. Step 5: Solve for x
    x = 18,805,224.18/5,159.24
  6. Step 6: Final answer
    x = 3,644.96

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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.