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Finding the Fourth Proportional to 5,960.78, 8,935.01 and 3,884.84

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Solution

The fourth proportional to 5,960.78, 8,935.01 and 3,884.84 is: 5,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.78 : 8,935.01 = 3,884.84 : x
  2. Step 2: Convert to fraction form
    5,960.78/8,935.01 = 3,884.84/x
  3. Step 3: Cross multiply
    5,960.78x = 8,935.01 × 3,884.84
  4. Step 4: Simplify right side
    5,960.78x = 34,711,020.15
  5. Step 5: Solve for x
    x = 34,711,020.15/5,960.78
  6. Step 6: Final answer
    x = 5,823.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.