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Finding the Fourth Proportional to 5,546.71, 7,641.07 and 4,747.48

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Solution

The fourth proportional to 5,546.71, 7,641.07 and 4,747.48 is: 6,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.71 : 7,641.07 = 4,747.48 : x
  2. Step 2: Convert to fraction form
    5,546.71/7,641.07 = 4,747.48/x
  3. Step 3: Cross multiply
    5,546.71x = 7,641.07 × 4,747.48
  4. Step 4: Simplify right side
    5,546.71x = 36,275,827.00
  5. Step 5: Solve for x
    x = 36,275,827.00/5,546.71
  6. Step 6: Final answer
    x = 6,540.06

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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.