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Finding the Fourth Proportional to 3,970.89, 5,479.46 and 2,202.49

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Solution

The fourth proportional to 3,970.89, 5,479.46 and 2,202.49 is: 3,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.89 : 5,479.46 = 2,202.49 : x
  2. Step 2: Convert to fraction form
    3,970.89/5,479.46 = 2,202.49/x
  3. Step 3: Cross multiply
    3,970.89x = 5,479.46 × 2,202.49
  4. Step 4: Simplify right side
    3,970.89x = 12,068,428.46
  5. Step 5: Solve for x
    x = 12,068,428.46/3,970.89
  6. Step 6: Final answer
    x = 3,039.23

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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.