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Finding the Fourth Proportional to 3,915.47, 5,871.36 and 2,272.49

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Solution

The fourth proportional to 3,915.47, 5,871.36 and 2,272.49 is: 3,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.47 : 5,871.36 = 2,272.49 : x
  2. Step 2: Convert to fraction form
    3,915.47/5,871.36 = 2,272.49/x
  3. Step 3: Cross multiply
    3,915.47x = 5,871.36 × 2,272.49
  4. Step 4: Simplify right side
    3,915.47x = 13,342,577.53
  5. Step 5: Solve for x
    x = 13,342,577.53/3,915.47
  6. Step 6: Final answer
    x = 3,407.66

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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.