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Finding the Fourth Proportional to 5,754.81, 7,941.92 and 3,237.71

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Solution

The fourth proportional to 5,754.81, 7,941.92 and 3,237.71 is: 4,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.81 : 7,941.92 = 3,237.71 : x
  2. Step 2: Convert to fraction form
    5,754.81/7,941.92 = 3,237.71/x
  3. Step 3: Cross multiply
    5,754.81x = 7,941.92 × 3,237.71
  4. Step 4: Simplify right side
    5,754.81x = 25,713,577.91
  5. Step 5: Solve for x
    x = 25,713,577.91/5,754.81
  6. Step 6: Final answer
    x = 4,468.19

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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.