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Finding the Fourth Proportional to 6,754.59, 10,115.42 and 3,824.01

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Solution

The fourth proportional to 6,754.59, 10,115.42 and 3,824.01 is: 5,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.59 : 10,115.42 = 3,824.01 : x
  2. Step 2: Convert to fraction form
    6,754.59/10,115.42 = 3,824.01/x
  3. Step 3: Cross multiply
    6,754.59x = 10,115.42 × 3,824.01
  4. Step 4: Simplify right side
    6,754.59x = 38,681,448.11
  5. Step 5: Solve for x
    x = 38,681,448.11/6,754.59
  6. Step 6: Final answer
    x = 5,726.69

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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.