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Finding the Fourth Proportional to 3,365.88, 5,023.32 and 3,278.40

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Solution

The fourth proportional to 3,365.88, 5,023.32 and 3,278.40 is: 4,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.88 : 5,023.32 = 3,278.40 : x
  2. Step 2: Convert to fraction form
    3,365.88/5,023.32 = 3,278.40/x
  3. Step 3: Cross multiply
    3,365.88x = 5,023.32 × 3,278.40
  4. Step 4: Simplify right side
    3,365.88x = 16,468,452.29
  5. Step 5: Solve for x
    x = 16,468,452.29/3,365.88
  6. Step 6: Final answer
    x = 4,892.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.