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Finding the Fourth Proportional to 3,710.26, 5,122.03 and 2,138.06

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Solution

The fourth proportional to 3,710.26, 5,122.03 and 2,138.06 is: 2,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.26 : 5,122.03 = 2,138.06 : x
  2. Step 2: Convert to fraction form
    3,710.26/5,122.03 = 2,138.06/x
  3. Step 3: Cross multiply
    3,710.26x = 5,122.03 × 2,138.06
  4. Step 4: Simplify right side
    3,710.26x = 10,951,207.46
  5. Step 5: Solve for x
    x = 10,951,207.46/3,710.26
  6. Step 6: Final answer
    x = 2,951.60

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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.