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Finding the Fourth Proportional to 3,902.74, 5,385.27 and 2,330.50

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Solution

The fourth proportional to 3,902.74, 5,385.27 and 2,330.50 is: 3,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.74 : 5,385.27 = 2,330.50 : x
  2. Step 2: Convert to fraction form
    3,902.74/5,385.27 = 2,330.50/x
  3. Step 3: Cross multiply
    3,902.74x = 5,385.27 × 2,330.50
  4. Step 4: Simplify right side
    3,902.74x = 12,550,371.74
  5. Step 5: Solve for x
    x = 12,550,371.74/3,902.74
  6. Step 6: Final answer
    x = 3,215.78

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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.