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Finding the Fourth Proportional to 3,535.72, 5,304.80 and 1,344.78

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Solution

The fourth proportional to 3,535.72, 5,304.80 and 1,344.78 is: 2,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.72 : 5,304.80 = 1,344.78 : x
  2. Step 2: Convert to fraction form
    3,535.72/5,304.80 = 1,344.78/x
  3. Step 3: Cross multiply
    3,535.72x = 5,304.80 × 1,344.78
  4. Step 4: Simplify right side
    3,535.72x = 7,133,788.94
  5. Step 5: Solve for x
    x = 7,133,788.94/3,535.72
  6. Step 6: Final answer
    x = 2,017.63

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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.