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Finding the Fourth Proportional to 4,960.02, 6,843.62 and 2,864.14

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Solution

The fourth proportional to 4,960.02, 6,843.62 and 2,864.14 is: 3,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.02 : 6,843.62 = 2,864.14 : x
  2. Step 2: Convert to fraction form
    4,960.02/6,843.62 = 2,864.14/x
  3. Step 3: Cross multiply
    4,960.02x = 6,843.62 × 2,864.14
  4. Step 4: Simplify right side
    4,960.02x = 19,601,085.79
  5. Step 5: Solve for x
    x = 19,601,085.79/4,960.02
  6. Step 6: Final answer
    x = 3,951.82

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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.