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Finding the Fourth Proportional to 3,378.59, 5,067.03 and 1,297.46

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Solution

The fourth proportional to 3,378.59, 5,067.03 and 1,297.46 is: 1,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.59 : 5,067.03 = 1,297.46 : x
  2. Step 2: Convert to fraction form
    3,378.59/5,067.03 = 1,297.46/x
  3. Step 3: Cross multiply
    3,378.59x = 5,067.03 × 1,297.46
  4. Step 4: Simplify right side
    3,378.59x = 6,574,281.95
  5. Step 5: Solve for x
    x = 6,574,281.95/3,378.59
  6. Step 6: Final answer
    x = 1,945.86

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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.