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Finding the Fourth Proportional to 3,709.74, 5,119.88 and 2,217.64

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Solution

The fourth proportional to 3,709.74, 5,119.88 and 2,217.64 is: 3,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.74 : 5,119.88 = 2,217.64 : x
  2. Step 2: Convert to fraction form
    3,709.74/5,119.88 = 2,217.64/x
  3. Step 3: Cross multiply
    3,709.74x = 5,119.88 × 2,217.64
  4. Step 4: Simplify right side
    3,709.74x = 11,354,050.68
  5. Step 5: Solve for x
    x = 11,354,050.68/3,709.74
  6. Step 6: Final answer
    x = 3,060.61

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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.