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Finding the Fourth Proportional to 5,102.16, 7,654.04 and 2,505.28

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Solution

The fourth proportional to 5,102.16, 7,654.04 and 2,505.28 is: 3,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.16 : 7,654.04 = 2,505.28 : x
  2. Step 2: Convert to fraction form
    5,102.16/7,654.04 = 2,505.28/x
  3. Step 3: Cross multiply
    5,102.16x = 7,654.04 × 2,505.28
  4. Step 4: Simplify right side
    5,102.16x = 19,175,513.33
  5. Step 5: Solve for x
    x = 19,175,513.33/5,102.16
  6. Step 6: Final answer
    x = 3,758.31

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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.