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Finding the Fourth Proportional to 6,432.74, 8,878.85 and 3,639.86

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Solution

The fourth proportional to 6,432.74, 8,878.85 and 3,639.86 is: 5,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.74 : 8,878.85 = 3,639.86 : x
  2. Step 2: Convert to fraction form
    6,432.74/8,878.85 = 3,639.86/x
  3. Step 3: Cross multiply
    6,432.74x = 8,878.85 × 3,639.86
  4. Step 4: Simplify right side
    6,432.74x = 32,317,770.96
  5. Step 5: Solve for x
    x = 32,317,770.96/6,432.74
  6. Step 6: Final answer
    x = 5,023.95

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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.