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Finding the Fourth Proportional to 5,641.29, 8,461.72 and 1,481.26

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Solution

The fourth proportional to 5,641.29, 8,461.72 and 1,481.26 is: 2,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.29 : 8,461.72 = 1,481.26 : x
  2. Step 2: Convert to fraction form
    5,641.29/8,461.72 = 1,481.26/x
  3. Step 3: Cross multiply
    5,641.29x = 8,461.72 × 1,481.26
  4. Step 4: Simplify right side
    5,641.29x = 12,534,007.37
  5. Step 5: Solve for x
    x = 12,534,007.37/5,641.29
  6. Step 6: Final answer
    x = 2,221.83

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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.