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Finding the Fourth Proportional to 3,899.32, 5,380.14 and 2,220.76

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Solution

The fourth proportional to 3,899.32, 5,380.14 and 2,220.76 is: 3,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.32 : 5,380.14 = 2,220.76 : x
  2. Step 2: Convert to fraction form
    3,899.32/5,380.14 = 2,220.76/x
  3. Step 3: Cross multiply
    3,899.32x = 5,380.14 × 2,220.76
  4. Step 4: Simplify right side
    3,899.32x = 11,947,999.71
  5. Step 5: Solve for x
    x = 11,947,999.71/3,899.32
  6. Step 6: Final answer
    x = 3,064.12

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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.