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Finding the Fourth Proportional to 5,471.92, 7,554.36 and 3,614.32

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Solution

The fourth proportional to 5,471.92, 7,554.36 and 3,614.32 is: 4,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.92 : 7,554.36 = 3,614.32 : x
  2. Step 2: Convert to fraction form
    5,471.92/7,554.36 = 3,614.32/x
  3. Step 3: Cross multiply
    5,471.92x = 7,554.36 × 3,614.32
  4. Step 4: Simplify right side
    5,471.92x = 27,303,874.44
  5. Step 5: Solve for x
    x = 27,303,874.44/5,471.92
  6. Step 6: Final answer
    x = 4,989.82

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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.