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Finding the Fourth Proportional to 6,191.59, 8,545.64 and 4,202.79

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Solution

The fourth proportional to 6,191.59, 8,545.64 and 4,202.79 is: 5,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.59 : 8,545.64 = 4,202.79 : x
  2. Step 2: Convert to fraction form
    6,191.59/8,545.64 = 4,202.79/x
  3. Step 3: Cross multiply
    6,191.59x = 8,545.64 × 4,202.79
  4. Step 4: Simplify right side
    6,191.59x = 35,915,477.28
  5. Step 5: Solve for x
    x = 35,915,477.28/6,191.59
  6. Step 6: Final answer
    x = 5,800.69

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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.