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Finding the Fourth Proportional to 4,231.86, 6,348.17 and 1,111.87

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Solution

The fourth proportional to 4,231.86, 6,348.17 and 1,111.87 is: 1,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.86 : 6,348.17 = 1,111.87 : x
  2. Step 2: Convert to fraction form
    4,231.86/6,348.17 = 1,111.87/x
  3. Step 3: Cross multiply
    4,231.86x = 6,348.17 × 1,111.87
  4. Step 4: Simplify right side
    4,231.86x = 7,058,339.78
  5. Step 5: Solve for x
    x = 7,058,339.78/4,231.86
  6. Step 6: Final answer
    x = 1,667.90

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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.