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Finding the Fourth Proportional to 5,088.48, 7,633.92 and 1,626

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Solution

The fourth proportional to 5,088.48, 7,633.92 and 1,626 is: 2,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.48 : 7,633.92 = 1,626 : x
  2. Step 2: Convert to fraction form
    5,088.48/7,633.92 = 1,626/x
  3. Step 3: Cross multiply
    5,088.48x = 7,633.92 × 1,626
  4. Step 4: Simplify right side
    5,088.48x = 12,412,753.92
  5. Step 5: Solve for x
    x = 12,412,753.92/5,088.48
  6. Step 6: Final answer
    x = 2,439.38

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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.