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Finding the Fourth Proportional to 3,237.68, 4,463.70 and 2,706.86

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Solution

The fourth proportional to 3,237.68, 4,463.70 and 2,706.86 is: 3,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.68 : 4,463.70 = 2,706.86 : x
  2. Step 2: Convert to fraction form
    3,237.68/4,463.70 = 2,706.86/x
  3. Step 3: Cross multiply
    3,237.68x = 4,463.70 × 2,706.86
  4. Step 4: Simplify right side
    3,237.68x = 12,082,610.98
  5. Step 5: Solve for x
    x = 12,082,610.98/3,237.68
  6. Step 6: Final answer
    x = 3,731.87

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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.