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Finding the Fourth Proportional to 3,378.63, 5,067.92 and 913.69

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Solution

The fourth proportional to 3,378.63, 5,067.92 and 913.69 is: 1,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.63 : 5,067.92 = 913.69 : x
  2. Step 2: Convert to fraction form
    3,378.63/5,067.92 = 913.69/x
  3. Step 3: Cross multiply
    3,378.63x = 5,067.92 × 913.69
  4. Step 4: Simplify right side
    3,378.63x = 4,630,503.26
  5. Step 5: Solve for x
    x = 4,630,503.26/3,378.63
  6. Step 6: Final answer
    x = 1,370.53

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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.