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Finding the Fourth Proportional to 4,471.72, 6,707.17 and 1,549.87

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Solution

The fourth proportional to 4,471.72, 6,707.17 and 1,549.87 is: 2,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.72 : 6,707.17 = 1,549.87 : x
  2. Step 2: Convert to fraction form
    4,471.72/6,707.17 = 1,549.87/x
  3. Step 3: Cross multiply
    4,471.72x = 6,707.17 × 1,549.87
  4. Step 4: Simplify right side
    4,471.72x = 10,395,241.57
  5. Step 5: Solve for x
    x = 10,395,241.57/4,471.72
  6. Step 6: Final answer
    x = 2,324.66

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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.