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Finding the Fourth Proportional to 5,104.16, 7,657.04 and 2,507.28

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Solution

The fourth proportional to 5,104.16, 7,657.04 and 2,507.28 is: 3,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.16 : 7,657.04 = 2,507.28 : x
  2. Step 2: Convert to fraction form
    5,104.16/7,657.04 = 2,507.28/x
  3. Step 3: Cross multiply
    5,104.16x = 7,657.04 × 2,507.28
  4. Step 4: Simplify right side
    5,104.16x = 19,198,343.25
  5. Step 5: Solve for x
    x = 19,198,343.25/5,104.16
  6. Step 6: Final answer
    x = 3,761.31

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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.