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Finding the Fourth Proportional to 5,641.32, 8,447.38 and 3,891.72

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Solution

The fourth proportional to 5,641.32, 8,447.38 and 3,891.72 is: 5,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.32 : 8,447.38 = 3,891.72 : x
  2. Step 2: Convert to fraction form
    5,641.32/8,447.38 = 3,891.72/x
  3. Step 3: Cross multiply
    5,641.32x = 8,447.38 × 3,891.72
  4. Step 4: Simplify right side
    5,641.32x = 32,874,837.69
  5. Step 5: Solve for x
    x = 32,874,837.69/5,641.32
  6. Step 6: Final answer
    x = 5,827.51

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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.