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Finding the Fourth Proportional to 5,623.92, 7,760.40 and 4,224.24

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Solution

The fourth proportional to 5,623.92, 7,760.40 and 4,224.24 is: 5,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.92 : 7,760.40 = 4,224.24 : x
  2. Step 2: Convert to fraction form
    5,623.92/7,760.40 = 4,224.24/x
  3. Step 3: Cross multiply
    5,623.92x = 7,760.40 × 4,224.24
  4. Step 4: Simplify right side
    5,623.92x = 32,781,792.10
  5. Step 5: Solve for x
    x = 32,781,792.10/5,623.92
  6. Step 6: Final answer
    x = 5,828.99

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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.