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Finding the Fourth Proportional to 5,935.78, 8,183.76 and 4,869.70

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Solution

The fourth proportional to 5,935.78, 8,183.76 and 4,869.70 is: 6,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.78 : 8,183.76 = 4,869.70 : x
  2. Step 2: Convert to fraction form
    5,935.78/8,183.76 = 4,869.70/x
  3. Step 3: Cross multiply
    5,935.78x = 8,183.76 × 4,869.70
  4. Step 4: Simplify right side
    5,935.78x = 39,852,456.07
  5. Step 5: Solve for x
    x = 39,852,456.07/5,935.78
  6. Step 6: Final answer
    x = 6,713.94

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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.