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Finding the Fourth Proportional to 4,338.52, 6,502.92 and 1,738.42

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Solution

The fourth proportional to 4,338.52, 6,502.92 and 1,738.42 is: 2,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.52 : 6,502.92 = 1,738.42 : x
  2. Step 2: Convert to fraction form
    4,338.52/6,502.92 = 1,738.42/x
  3. Step 3: Cross multiply
    4,338.52x = 6,502.92 × 1,738.42
  4. Step 4: Simplify right side
    4,338.52x = 11,304,806.19
  5. Step 5: Solve for x
    x = 11,304,806.19/4,338.52
  6. Step 6: Final answer
    x = 2,605.68

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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.