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Finding the Fourth Proportional to 4,502.38, 6,754.65 and 1,424.38

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Solution

The fourth proportional to 4,502.38, 6,754.65 and 1,424.38 is: 2,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.38 : 6,754.65 = 1,424.38 : x
  2. Step 2: Convert to fraction form
    4,502.38/6,754.65 = 1,424.38/x
  3. Step 3: Cross multiply
    4,502.38x = 6,754.65 × 1,424.38
  4. Step 4: Simplify right side
    4,502.38x = 9,621,147.47
  5. Step 5: Solve for x
    x = 9,621,147.47/4,502.38
  6. Step 6: Final answer
    x = 2,136.90

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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.