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Finding the Fourth Proportional to 3,417.27, 5,125.10 and 1,663.22

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Solution

The fourth proportional to 3,417.27, 5,125.10 and 1,663.22 is: 2,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.27 : 5,125.10 = 1,663.22 : x
  2. Step 2: Convert to fraction form
    3,417.27/5,125.10 = 1,663.22/x
  3. Step 3: Cross multiply
    3,417.27x = 5,125.10 × 1,663.22
  4. Step 4: Simplify right side
    3,417.27x = 8,524,134.88
  5. Step 5: Solve for x
    x = 8,524,134.88/3,417.27
  6. Step 6: Final answer
    x = 2,494.43

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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.