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Finding the Fourth Proportional to 5,966.75, 8,947.87 and 4,793.87

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Solution

The fourth proportional to 5,966.75, 8,947.87 and 4,793.87 is: 7,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.75 : 8,947.87 = 4,793.87 : x
  2. Step 2: Convert to fraction form
    5,966.75/8,947.87 = 4,793.87/x
  3. Step 3: Cross multiply
    5,966.75x = 8,947.87 × 4,793.87
  4. Step 4: Simplify right side
    5,966.75x = 42,894,925.56
  5. Step 5: Solve for x
    x = 42,894,925.56/5,966.75
  6. Step 6: Final answer
    x = 7,188.99

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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.