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Finding the Fourth Proportional to 5,743.38, 7,925.87 and 3,259.38

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Solution

The fourth proportional to 5,743.38, 7,925.87 and 3,259.38 is: 4,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.38 : 7,925.87 = 3,259.38 : x
  2. Step 2: Convert to fraction form
    5,743.38/7,925.87 = 3,259.38/x
  3. Step 3: Cross multiply
    5,743.38x = 7,925.87 × 3,259.38
  4. Step 4: Simplify right side
    5,743.38x = 25,833,422.16
  5. Step 5: Solve for x
    x = 25,833,422.16/5,743.38
  6. Step 6: Final answer
    x = 4,497.95

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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.