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Finding the Fourth Proportional to 4,311, 5,949.18 and 2,448

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Solution

The fourth proportional to 4,311, 5,949.18 and 2,448 is: 3,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311 : 5,949.18 = 2,448 : x
  2. Step 2: Convert to fraction form
    4,311/5,949.18 = 2,448/x
  3. Step 3: Cross multiply
    4,311x = 5,949.18 × 2,448
  4. Step 4: Simplify right side
    4,311x = 14,563,592.64
  5. Step 5: Solve for x
    x = 14,563,592.64/4,311
  6. Step 6: Final answer
    x = 3,378.24

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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.