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Finding the Fourth Proportional to 5,947.64, 8,909.33 and 2,818.16

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Solution

The fourth proportional to 5,947.64, 8,909.33 and 2,818.16 is: 4,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.64 : 8,909.33 = 2,818.16 : x
  2. Step 2: Convert to fraction form
    5,947.64/8,909.33 = 2,818.16/x
  3. Step 3: Cross multiply
    5,947.64x = 8,909.33 × 2,818.16
  4. Step 4: Simplify right side
    5,947.64x = 25,107,879.93
  5. Step 5: Solve for x
    x = 25,107,879.93/5,947.64
  6. Step 6: Final answer
    x = 4,221.49

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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.