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Finding the Fourth Proportional to 3,344.66, 5,013.66 and 1,586.57

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Solution

The fourth proportional to 3,344.66, 5,013.66 and 1,586.57 is: 2,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.66 : 5,013.66 = 1,586.57 : x
  2. Step 2: Convert to fraction form
    3,344.66/5,013.66 = 1,586.57/x
  3. Step 3: Cross multiply
    3,344.66x = 5,013.66 × 1,586.57
  4. Step 4: Simplify right side
    3,344.66x = 7,954,497.48
  5. Step 5: Solve for x
    x = 7,954,497.48/3,344.66
  6. Step 6: Final answer
    x = 2,378.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.