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Finding the Fourth Proportional to 5,138.06, 7,708.71 and 2,217.74

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Solution

The fourth proportional to 5,138.06, 7,708.71 and 2,217.74 is: 3,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.06 : 7,708.71 = 2,217.74 : x
  2. Step 2: Convert to fraction form
    5,138.06/7,708.71 = 2,217.74/x
  3. Step 3: Cross multiply
    5,138.06x = 7,708.71 × 2,217.74
  4. Step 4: Simplify right side
    5,138.06x = 17,095,864.88
  5. Step 5: Solve for x
    x = 17,095,864.88/5,138.06
  6. Step 6: Final answer
    x = 3,327.30

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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.