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Finding the Fourth Proportional to 4,145.75, 5,721.18 and 2,282.75

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Solution

The fourth proportional to 4,145.75, 5,721.18 and 2,282.75 is: 3,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.75 : 5,721.18 = 2,282.75 : x
  2. Step 2: Convert to fraction form
    4,145.75/5,721.18 = 2,282.75/x
  3. Step 3: Cross multiply
    4,145.75x = 5,721.18 × 2,282.75
  4. Step 4: Simplify right side
    4,145.75x = 13,060,023.65
  5. Step 5: Solve for x
    x = 13,060,023.65/4,145.75
  6. Step 6: Final answer
    x = 3,150.22

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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.