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Finding the Fourth Proportional to 5,159.14, 7,732.95 and 4,743.97

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Solution

The fourth proportional to 5,159.14, 7,732.95 and 4,743.97 is: 7,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.14 : 7,732.95 = 4,743.97 : x
  2. Step 2: Convert to fraction form
    5,159.14/7,732.95 = 4,743.97/x
  3. Step 3: Cross multiply
    5,159.14x = 7,732.95 × 4,743.97
  4. Step 4: Simplify right side
    5,159.14x = 36,684,882.81
  5. Step 5: Solve for x
    x = 36,684,882.81/5,159.14
  6. Step 6: Final answer
    x = 7,110.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.