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Finding the Fourth Proportional to 5,612.97, 8,416.11 and 2,324.25

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Solution

The fourth proportional to 5,612.97, 8,416.11 and 2,324.25 is: 3,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.97 : 8,416.11 = 2,324.25 : x
  2. Step 2: Convert to fraction form
    5,612.97/8,416.11 = 2,324.25/x
  3. Step 3: Cross multiply
    5,612.97x = 8,416.11 × 2,324.25
  4. Step 4: Simplify right side
    5,612.97x = 19,561,143.67
  5. Step 5: Solve for x
    x = 19,561,143.67/5,612.97
  6. Step 6: Final answer
    x = 3,484.99

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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.