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Finding the Fourth Proportional to 3,512.31, 5,268.47 and 915.25

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Solution

The fourth proportional to 3,512.31, 5,268.47 and 915.25 is: 1,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.31 : 5,268.47 = 915.25 : x
  2. Step 2: Convert to fraction form
    3,512.31/5,268.47 = 915.25/x
  3. Step 3: Cross multiply
    3,512.31x = 5,268.47 × 915.25
  4. Step 4: Simplify right side
    3,512.31x = 4,821,967.17
  5. Step 5: Solve for x
    x = 4,821,967.17/3,512.31
  6. Step 6: Final answer
    x = 1,372.88

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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.