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Finding the Fourth Proportional to 5,138.70, 7,708.85 and 2,177.15

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Solution

The fourth proportional to 5,138.70, 7,708.85 and 2,177.15 is: 3,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.70 : 7,708.85 = 2,177.15 : x
  2. Step 2: Convert to fraction form
    5,138.70/7,708.85 = 2,177.15/x
  3. Step 3: Cross multiply
    5,138.70x = 7,708.85 × 2,177.15
  4. Step 4: Simplify right side
    5,138.70x = 16,783,281.51
  5. Step 5: Solve for x
    x = 16,783,281.51/5,138.70
  6. Step 6: Final answer
    x = 3,266.06

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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.