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Finding the Fourth Proportional to 4,381.83, 6,046.78 and 2,392.38

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Solution

The fourth proportional to 4,381.83, 6,046.78 and 2,392.38 is: 3,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.83 : 6,046.78 = 2,392.38 : x
  2. Step 2: Convert to fraction form
    4,381.83/6,046.78 = 2,392.38/x
  3. Step 3: Cross multiply
    4,381.83x = 6,046.78 × 2,392.38
  4. Step 4: Simplify right side
    4,381.83x = 14,466,195.54
  5. Step 5: Solve for x
    x = 14,466,195.54/4,381.83
  6. Step 6: Final answer
    x = 3,301.41

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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.