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Finding the Fourth Proportional to 5,984.66, 8,963.31 and 2,866.87

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Solution

The fourth proportional to 5,984.66, 8,963.31 and 2,866.87 is: 4,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.66 : 8,963.31 = 2,866.87 : x
  2. Step 2: Convert to fraction form
    5,984.66/8,963.31 = 2,866.87/x
  3. Step 3: Cross multiply
    5,984.66x = 8,963.31 × 2,866.87
  4. Step 4: Simplify right side
    5,984.66x = 25,696,625.16
  5. Step 5: Solve for x
    x = 25,696,625.16/5,984.66
  6. Step 6: Final answer
    x = 4,293.75

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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.