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Finding the Fourth Proportional to 4,502.48, 6,747.62 and 2,034.22

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Solution

The fourth proportional to 4,502.48, 6,747.62 and 2,034.22 is: 3,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.48 : 6,747.62 = 2,034.22 : x
  2. Step 2: Convert to fraction form
    4,502.48/6,747.62 = 2,034.22/x
  3. Step 3: Cross multiply
    4,502.48x = 6,747.62 × 2,034.22
  4. Step 4: Simplify right side
    4,502.48x = 13,726,143.56
  5. Step 5: Solve for x
    x = 13,726,143.56/4,502.48
  6. Step 6: Final answer
    x = 3,048.57

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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.