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Finding the Fourth Proportional to 4,832.97, 6,667.07 and 3,061.77

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Solution

The fourth proportional to 4,832.97, 6,667.07 and 3,061.77 is: 4,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.97 : 6,667.07 = 3,061.77 : x
  2. Step 2: Convert to fraction form
    4,832.97/6,667.07 = 3,061.77/x
  3. Step 3: Cross multiply
    4,832.97x = 6,667.07 × 3,061.77
  4. Step 4: Simplify right side
    4,832.97x = 20,413,034.91
  5. Step 5: Solve for x
    x = 20,413,034.91/4,832.97
  6. Step 6: Final answer
    x = 4,223.70

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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.