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Finding the Fourth Proportional to 5,309.78, 7,963.61 and 5,046.35

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Solution

The fourth proportional to 5,309.78, 7,963.61 and 5,046.35 is: 7,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.78 : 7,963.61 = 5,046.35 : x
  2. Step 2: Convert to fraction form
    5,309.78/7,963.61 = 5,046.35/x
  3. Step 3: Cross multiply
    5,309.78x = 7,963.61 × 5,046.35
  4. Step 4: Simplify right side
    5,309.78x = 40,187,098.27
  5. Step 5: Solve for x
    x = 40,187,098.27/5,309.78
  6. Step 6: Final answer
    x = 7,568.51

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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.