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Finding the Fourth Proportional to 4,282.65, 5,911.31 and 2,711.65

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Solution

The fourth proportional to 4,282.65, 5,911.31 and 2,711.65 is: 3,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.65 : 5,911.31 = 2,711.65 : x
  2. Step 2: Convert to fraction form
    4,282.65/5,911.31 = 2,711.65/x
  3. Step 3: Cross multiply
    4,282.65x = 5,911.31 × 2,711.65
  4. Step 4: Simplify right side
    4,282.65x = 16,029,403.76
  5. Step 5: Solve for x
    x = 16,029,403.76/4,282.65
  6. Step 6: Final answer
    x = 3,742.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.