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Finding the Fourth Proportional to 5,957.68, 8,930.71 and 2,836.85

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Solution

The fourth proportional to 5,957.68, 8,930.71 and 2,836.85 is: 4,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.68 : 8,930.71 = 2,836.85 : x
  2. Step 2: Convert to fraction form
    5,957.68/8,930.71 = 2,836.85/x
  3. Step 3: Cross multiply
    5,957.68x = 8,930.71 × 2,836.85
  4. Step 4: Simplify right side
    5,957.68x = 25,335,027.60
  5. Step 5: Solve for x
    x = 25,335,027.60/5,957.68
  6. Step 6: Final answer
    x = 4,252.50

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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.