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Finding the Fourth Proportional to 3,709.68, 5,118.03 and 2,217.66

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Solution

The fourth proportional to 3,709.68, 5,118.03 and 2,217.66 is: 3,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.68 : 5,118.03 = 2,217.66 : x
  2. Step 2: Convert to fraction form
    3,709.68/5,118.03 = 2,217.66/x
  3. Step 3: Cross multiply
    3,709.68x = 5,118.03 × 2,217.66
  4. Step 4: Simplify right side
    3,709.68x = 11,350,050.41
  5. Step 5: Solve for x
    x = 11,350,050.41/3,709.68
  6. Step 6: Final answer
    x = 3,059.58

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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.