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Finding the Fourth Proportional to 4,113.86, 6,167.69 and 1,338.87

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Solution

The fourth proportional to 4,113.86, 6,167.69 and 1,338.87 is: 2,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.86 : 6,167.69 = 1,338.87 : x
  2. Step 2: Convert to fraction form
    4,113.86/6,167.69 = 1,338.87/x
  3. Step 3: Cross multiply
    4,113.86x = 6,167.69 × 1,338.87
  4. Step 4: Simplify right side
    4,113.86x = 8,257,728.42
  5. Step 5: Solve for x
    x = 8,257,728.42/4,113.86
  6. Step 6: Final answer
    x = 2,007.30

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