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Finding the Fourth Proportional to 5,490.92, 8,254.22 and 4,407.16

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Solution

The fourth proportional to 5,490.92, 8,254.22 and 4,407.16 is: 6,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.92 : 8,254.22 = 4,407.16 : x
  2. Step 2: Convert to fraction form
    5,490.92/8,254.22 = 4,407.16/x
  3. Step 3: Cross multiply
    5,490.92x = 8,254.22 × 4,407.16
  4. Step 4: Simplify right side
    5,490.92x = 36,377,668.22
  5. Step 5: Solve for x
    x = 36,377,668.22/5,490.92
  6. Step 6: Final answer
    x = 6,625.06

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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.