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Finding the Fourth Proportional to 5,254.97, 7,882.45 and 1,792.13

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Solution

The fourth proportional to 5,254.97, 7,882.45 and 1,792.13 is: 2,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.97 : 7,882.45 = 1,792.13 : x
  2. Step 2: Convert to fraction form
    5,254.97/7,882.45 = 1,792.13/x
  3. Step 3: Cross multiply
    5,254.97x = 7,882.45 × 1,792.13
  4. Step 4: Simplify right side
    5,254.97x = 14,126,331.23
  5. Step 5: Solve for x
    x = 14,126,331.23/5,254.97
  6. Step 6: Final answer
    x = 2,688.19

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.