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Finding the Fourth Proportional to 4,478.52, 6,174.81 and 2,882.46

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Solution

The fourth proportional to 4,478.52, 6,174.81 and 2,882.46 is: 3,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.52 : 6,174.81 = 2,882.46 : x
  2. Step 2: Convert to fraction form
    4,478.52/6,174.81 = 2,882.46/x
  3. Step 3: Cross multiply
    4,478.52x = 6,174.81 × 2,882.46
  4. Step 4: Simplify right side
    4,478.52x = 17,798,642.83
  5. Step 5: Solve for x
    x = 17,798,642.83/4,478.52
  6. Step 6: Final answer
    x = 3,974.22

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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.