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Finding the Fourth Proportional to 5,752.16, 7,937.78 and 3,234.42

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Solution

The fourth proportional to 5,752.16, 7,937.78 and 3,234.42 is: 4,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.16 : 7,937.78 = 3,234.42 : x
  2. Step 2: Convert to fraction form
    5,752.16/7,937.78 = 3,234.42/x
  3. Step 3: Cross multiply
    5,752.16x = 7,937.78 × 3,234.42
  4. Step 4: Simplify right side
    5,752.16x = 25,674,116.41
  5. Step 5: Solve for x
    x = 25,674,116.41/5,752.16
  6. Step 6: Final answer
    x = 4,463.38

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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.