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Finding the Fourth Proportional to 3,465.40, 5,198.10 and 3,278.20

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Solution

The fourth proportional to 3,465.40, 5,198.10 and 3,278.20 is: 4,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.40 : 5,198.10 = 3,278.20 : x
  2. Step 2: Convert to fraction form
    3,465.40/5,198.10 = 3,278.20/x
  3. Step 3: Cross multiply
    3,465.40x = 5,198.10 × 3,278.20
  4. Step 4: Simplify right side
    3,465.40x = 17,040,411.42
  5. Step 5: Solve for x
    x = 17,040,411.42/3,465.40
  6. Step 6: Final answer
    x = 4,917.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.