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Finding the Fourth Proportional to 4,502.81, 6,755.30 and 1,424.81

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Solution

The fourth proportional to 4,502.81, 6,755.30 and 1,424.81 is: 2,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.81 : 6,755.30 = 1,424.81 : x
  2. Step 2: Convert to fraction form
    4,502.81/6,755.30 = 1,424.81/x
  3. Step 3: Cross multiply
    4,502.81x = 6,755.30 × 1,424.81
  4. Step 4: Simplify right side
    4,502.81x = 9,625,034.10
  5. Step 5: Solve for x
    x = 9,625,034.10/4,502.81
  6. Step 6: Final answer
    x = 2,137.56

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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.