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Finding the Fourth Proportional to 3,869.70, 5,340.29 and 2,276.46

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Solution

The fourth proportional to 3,869.70, 5,340.29 and 2,276.46 is: 3,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.70 : 5,340.29 = 2,276.46 : x
  2. Step 2: Convert to fraction form
    3,869.70/5,340.29 = 2,276.46/x
  3. Step 3: Cross multiply
    3,869.70x = 5,340.29 × 2,276.46
  4. Step 4: Simplify right side
    3,869.70x = 12,156,918.49
  5. Step 5: Solve for x
    x = 12,156,918.49/3,869.70
  6. Step 6: Final answer
    x = 3,141.57

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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.