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Finding the Fourth Proportional to 6,431.52, 8,875.32 and 3,778.86

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Solution

The fourth proportional to 6,431.52, 8,875.32 and 3,778.86 is: 5,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.52 : 8,875.32 = 3,778.86 : x
  2. Step 2: Convert to fraction form
    6,431.52/8,875.32 = 3,778.86/x
  3. Step 3: Cross multiply
    6,431.52x = 8,875.32 × 3,778.86
  4. Step 4: Simplify right side
    6,431.52x = 33,538,591.74
  5. Step 5: Solve for x
    x = 33,538,591.74/6,431.52
  6. Step 6: Final answer
    x = 5,214.72

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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.