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Finding the Fourth Proportional to 5,311.65, 7,956.32 and 2,535.53

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Solution

The fourth proportional to 5,311.65, 7,956.32 and 2,535.53 is: 3,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.65 : 7,956.32 = 2,535.53 : x
  2. Step 2: Convert to fraction form
    5,311.65/7,956.32 = 2,535.53/x
  3. Step 3: Cross multiply
    5,311.65x = 7,956.32 × 2,535.53
  4. Step 4: Simplify right side
    5,311.65x = 20,173,488.05
  5. Step 5: Solve for x
    x = 20,173,488.05/5,311.65
  6. Step 6: Final answer
    x = 3,797.97

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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.