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Finding the Fourth Proportional to 4,381.54, 6,046.67 and 2,392.20

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Solution

The fourth proportional to 4,381.54, 6,046.67 and 2,392.20 is: 3,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.54 : 6,046.67 = 2,392.20 : x
  2. Step 2: Convert to fraction form
    4,381.54/6,046.67 = 2,392.20/x
  3. Step 3: Cross multiply
    4,381.54x = 6,046.67 × 2,392.20
  4. Step 4: Simplify right side
    4,381.54x = 14,464,843.97
  5. Step 5: Solve for x
    x = 14,464,843.97/4,381.54
  6. Step 6: Final answer
    x = 3,301.32

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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.