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Finding the Fourth Proportional to 3,915.48, 5,403.12 and 2,342.64

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Solution

The fourth proportional to 3,915.48, 5,403.12 and 2,342.64 is: 3,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.48 : 5,403.12 = 2,342.64 : x
  2. Step 2: Convert to fraction form
    3,915.48/5,403.12 = 2,342.64/x
  3. Step 3: Cross multiply
    3,915.48x = 5,403.12 × 2,342.64
  4. Step 4: Simplify right side
    3,915.48x = 12,657,565.04
  5. Step 5: Solve for x
    x = 12,657,565.04/3,915.48
  6. Step 6: Final answer
    x = 3,232.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.