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Finding the Fourth Proportional to 4,381.80, 6,046.89 and 2,392.38

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Solution

The fourth proportional to 4,381.80, 6,046.89 and 2,392.38 is: 3,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.80 : 6,046.89 = 2,392.38 : x
  2. Step 2: Convert to fraction form
    4,381.80/6,046.89 = 2,392.38/x
  3. Step 3: Cross multiply
    4,381.80x = 6,046.89 × 2,392.38
  4. Step 4: Simplify right side
    4,381.80x = 14,466,458.70
  5. Step 5: Solve for x
    x = 14,466,458.70/4,381.80
  6. Step 6: Final answer
    x = 3,301.49

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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.