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Finding the Fourth Proportional to 4,158.62, 5,739 and 2,366

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Solution

The fourth proportional to 4,158.62, 5,739 and 2,366 is: 3,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.62 : 5,739 = 2,366 : x
  2. Step 2: Convert to fraction form
    4,158.62/5,739 = 2,366/x
  3. Step 3: Cross multiply
    4,158.62x = 5,739 × 2,366
  4. Step 4: Simplify right side
    4,158.62x = 13,578,474
  5. Step 5: Solve for x
    x = 13,578,474/4,158.62
  6. Step 6: Final answer
    x = 3,265.14

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Why These Related Problems?

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