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Finding the Fourth Proportional to 6,238.56, 8,616.48 and 4,139.04

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Solution

The fourth proportional to 6,238.56, 8,616.48 and 4,139.04 is: 5,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.56 : 8,616.48 = 4,139.04 : x
  2. Step 2: Convert to fraction form
    6,238.56/8,616.48 = 4,139.04/x
  3. Step 3: Cross multiply
    6,238.56x = 8,616.48 × 4,139.04
  4. Step 4: Simplify right side
    6,238.56x = 35,663,955.38
  5. Step 5: Solve for x
    x = 35,663,955.38/6,238.56
  6. Step 6: Final answer
    x = 5,716.70

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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.