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Finding the Fourth Proportional to 3,378.72, 4,657.20 and 2,197.20

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Solution

The fourth proportional to 3,378.72, 4,657.20 and 2,197.20 is: 3,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.72 : 4,657.20 = 2,197.20 : x
  2. Step 2: Convert to fraction form
    3,378.72/4,657.20 = 2,197.20/x
  3. Step 3: Cross multiply
    3,378.72x = 4,657.20 × 2,197.20
  4. Step 4: Simplify right side
    3,378.72x = 10,232,799.84
  5. Step 5: Solve for x
    x = 10,232,799.84/3,378.72
  6. Step 6: Final answer
    x = 3,028.60

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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.