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Finding the Fourth Proportional to 6,191.47, 8,546.61 and 4,202.92

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Solution

The fourth proportional to 6,191.47, 8,546.61 and 4,202.92 is: 5,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.47 : 8,546.61 = 4,202.92 : x
  2. Step 2: Convert to fraction form
    6,191.47/8,546.61 = 4,202.92/x
  3. Step 3: Cross multiply
    6,191.47x = 8,546.61 × 4,202.92
  4. Step 4: Simplify right side
    6,191.47x = 35,920,718.10
  5. Step 5: Solve for x
    x = 35,920,718.10/6,191.47
  6. Step 6: Final answer
    x = 5,801.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.