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Finding the Fourth Proportional to 3,970.85, 5,480.10 and 2,202.42

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Solution

The fourth proportional to 3,970.85, 5,480.10 and 2,202.42 is: 3,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.85 : 5,480.10 = 2,202.42 : x
  2. Step 2: Convert to fraction form
    3,970.85/5,480.10 = 2,202.42/x
  3. Step 3: Cross multiply
    3,970.85x = 5,480.10 × 2,202.42
  4. Step 4: Simplify right side
    3,970.85x = 12,069,481.84
  5. Step 5: Solve for x
    x = 12,069,481.84/3,970.85
  6. Step 6: Final answer
    x = 3,039.52

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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.