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Finding the Fourth Proportional to 5,057.28, 6,981.56 and 3,920.40

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Solution

The fourth proportional to 5,057.28, 6,981.56 and 3,920.40 is: 5,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.28 : 6,981.56 = 3,920.40 : x
  2. Step 2: Convert to fraction form
    5,057.28/6,981.56 = 3,920.40/x
  3. Step 3: Cross multiply
    5,057.28x = 6,981.56 × 3,920.40
  4. Step 4: Simplify right side
    5,057.28x = 27,370,507.82
  5. Step 5: Solve for x
    x = 27,370,507.82/5,057.28
  6. Step 6: Final answer
    x = 5,412.10

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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.