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Finding the Fourth Proportional to 5,342.72, 7,372.80 and 2,952.86

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Solution

The fourth proportional to 5,342.72, 7,372.80 and 2,952.86 is: 4,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.72 : 7,372.80 = 2,952.86 : x
  2. Step 2: Convert to fraction form
    5,342.72/7,372.80 = 2,952.86/x
  3. Step 3: Cross multiply
    5,342.72x = 7,372.80 × 2,952.86
  4. Step 4: Simplify right side
    5,342.72x = 21,770,864.64
  5. Step 5: Solve for x
    x = 21,770,864.64/5,342.72
  6. Step 6: Final answer
    x = 4,074.87

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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.