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Finding the Fourth Proportional to 5,436.38, 7,502.20 and 2,952.38

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Solution

The fourth proportional to 5,436.38, 7,502.20 and 2,952.38 is: 4,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.38 : 7,502.20 = 2,952.38 : x
  2. Step 2: Convert to fraction form
    5,436.38/7,502.20 = 2,952.38/x
  3. Step 3: Cross multiply
    5,436.38x = 7,502.20 × 2,952.38
  4. Step 4: Simplify right side
    5,436.38x = 22,149,345.24
  5. Step 5: Solve for x
    x = 22,149,345.24/5,436.38
  6. Step 6: Final answer
    x = 4,074.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.