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Finding the Fourth Proportional to 6,102.88, 8,421.86 and 3,414.16

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Solution

The fourth proportional to 6,102.88, 8,421.86 and 3,414.16 is: 4,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.88 : 8,421.86 = 3,414.16 : x
  2. Step 2: Convert to fraction form
    6,102.88/8,421.86 = 3,414.16/x
  3. Step 3: Cross multiply
    6,102.88x = 8,421.86 × 3,414.16
  4. Step 4: Simplify right side
    6,102.88x = 28,753,565.02
  5. Step 5: Solve for x
    x = 28,753,565.02/6,102.88
  6. Step 6: Final answer
    x = 4,711.48

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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.