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Finding the Fourth Proportional to 5,475.48, 8,215.74 and 3,397.92

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Solution

The fourth proportional to 5,475.48, 8,215.74 and 3,397.92 is: 5,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.48 : 8,215.74 = 3,397.92 : x
  2. Step 2: Convert to fraction form
    5,475.48/8,215.74 = 3,397.92/x
  3. Step 3: Cross multiply
    5,475.48x = 8,215.74 × 3,397.92
  4. Step 4: Simplify right side
    5,475.48x = 27,916,427.26
  5. Step 5: Solve for x
    x = 27,916,427.26/5,475.48
  6. Step 6: Final answer
    x = 5,098.44

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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.