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Finding the Fourth Proportional to 3,344.65, 5,013.67 and 1,586.57

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Solution

The fourth proportional to 3,344.65, 5,013.67 and 1,586.57 is: 2,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.65 : 5,013.67 = 1,586.57 : x
  2. Step 2: Convert to fraction form
    3,344.65/5,013.67 = 1,586.57/x
  3. Step 3: Cross multiply
    3,344.65x = 5,013.67 × 1,586.57
  4. Step 4: Simplify right side
    3,344.65x = 7,954,509.38
  5. Step 5: Solve for x
    x = 7,954,509.38/3,344.65
  6. Step 6: Final answer
    x = 2,378.28

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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.