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Finding the Fourth Proportional to 4,381.62, 6,046.71 and 2,392.14

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Solution

The fourth proportional to 4,381.62, 6,046.71 and 2,392.14 is: 3,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.62 : 6,046.71 = 2,392.14 : x
  2. Step 2: Convert to fraction form
    4,381.62/6,046.71 = 2,392.14/x
  3. Step 3: Cross multiply
    4,381.62x = 6,046.71 × 2,392.14
  4. Step 4: Simplify right side
    4,381.62x = 14,464,576.86
  5. Step 5: Solve for x
    x = 14,464,576.86/4,381.62
  6. Step 6: Final answer
    x = 3,301.19

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