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Finding the Fourth Proportional to 4,542.52, 6,814.02 and 1,422.76

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Solution

The fourth proportional to 4,542.52, 6,814.02 and 1,422.76 is: 2,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.52 : 6,814.02 = 1,422.76 : x
  2. Step 2: Convert to fraction form
    4,542.52/6,814.02 = 1,422.76/x
  3. Step 3: Cross multiply
    4,542.52x = 6,814.02 × 1,422.76
  4. Step 4: Simplify right side
    4,542.52x = 9,694,715.10
  5. Step 5: Solve for x
    x = 9,694,715.10/4,542.52
  6. Step 6: Final answer
    x = 2,134.22

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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.