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Finding the Fourth Proportional to 3,869.56, 5,340.02 and 2,101.17

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Solution

The fourth proportional to 3,869.56, 5,340.02 and 2,101.17 is: 2,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.56 : 5,340.02 = 2,101.17 : x
  2. Step 2: Convert to fraction form
    3,869.56/5,340.02 = 2,101.17/x
  3. Step 3: Cross multiply
    3,869.56x = 5,340.02 × 2,101.17
  4. Step 4: Simplify right side
    3,869.56x = 11,220,289.82
  5. Step 5: Solve for x
    x = 11,220,289.82/3,869.56
  6. Step 6: Final answer
    x = 2,899.63

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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.