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Finding the Fourth Proportional to 4,167.86, 6,251.72 and 1,089.86

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Solution

The fourth proportional to 4,167.86, 6,251.72 and 1,089.86 is: 1,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.86 : 6,251.72 = 1,089.86 : x
  2. Step 2: Convert to fraction form
    4,167.86/6,251.72 = 1,089.86/x
  3. Step 3: Cross multiply
    4,167.86x = 6,251.72 × 1,089.86
  4. Step 4: Simplify right side
    4,167.86x = 6,813,499.56
  5. Step 5: Solve for x
    x = 6,813,499.56/4,167.86
  6. Step 6: Final answer
    x = 1,634.77

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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.