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Finding the Fourth Proportional to 4,826.97, 6,663.17 and 4,084.79

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Solution

The fourth proportional to 4,826.97, 6,663.17 and 4,084.79 is: 5,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.97 : 6,663.17 = 4,084.79 : x
  2. Step 2: Convert to fraction form
    4,826.97/6,663.17 = 4,084.79/x
  3. Step 3: Cross multiply
    4,826.97x = 6,663.17 × 4,084.79
  4. Step 4: Simplify right side
    4,826.97x = 27,217,627.08
  5. Step 5: Solve for x
    x = 27,217,627.08/4,826.97
  6. Step 6: Final answer
    x = 5,638.66

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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.