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Finding the Fourth Proportional to 3,705.70, 5,108.55 and 2,288.44

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Solution

The fourth proportional to 3,705.70, 5,108.55 and 2,288.44 is: 3,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.70 : 5,108.55 = 2,288.44 : x
  2. Step 2: Convert to fraction form
    3,705.70/5,108.55 = 2,288.44/x
  3. Step 3: Cross multiply
    3,705.70x = 5,108.55 × 2,288.44
  4. Step 4: Simplify right side
    3,705.70x = 11,690,610.16
  5. Step 5: Solve for x
    x = 11,690,610.16/3,705.70
  6. Step 6: Final answer
    x = 3,154.76

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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.