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Finding the Fourth Proportional to 3,524.58, 5,288.58 and 1,964.52

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Solution

The fourth proportional to 3,524.58, 5,288.58 and 1,964.52 is: 2,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.58 : 5,288.58 = 1,964.52 : x
  2. Step 2: Convert to fraction form
    3,524.58/5,288.58 = 1,964.52/x
  3. Step 3: Cross multiply
    3,524.58x = 5,288.58 × 1,964.52
  4. Step 4: Simplify right side
    3,524.58x = 10,389,521.18
  5. Step 5: Solve for x
    x = 10,389,521.18/3,524.58
  6. Step 6: Final answer
    x = 2,947.73

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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.