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Finding the Fourth Proportional to 3,478.80, 5,243.76 and 3,278.04

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Solution

The fourth proportional to 3,478.80, 5,243.76 and 3,278.04 is: 4,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.80 : 5,243.76 = 3,278.04 : x
  2. Step 2: Convert to fraction form
    3,478.80/5,243.76 = 3,278.04/x
  3. Step 3: Cross multiply
    3,478.80x = 5,243.76 × 3,278.04
  4. Step 4: Simplify right side
    3,478.80x = 17,189,255.03
  5. Step 5: Solve for x
    x = 17,189,255.03/3,478.80
  6. Step 6: Final answer
    x = 4,941.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.