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Finding the Fourth Proportional to 5,947.94, 8,921.19 and 1,565.73

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Solution

The fourth proportional to 5,947.94, 8,921.19 and 1,565.73 is: 2,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.94 : 8,921.19 = 1,565.73 : x
  2. Step 2: Convert to fraction form
    5,947.94/8,921.19 = 1,565.73/x
  3. Step 3: Cross multiply
    5,947.94x = 8,921.19 × 1,565.73
  4. Step 4: Simplify right side
    5,947.94x = 13,968,216.12
  5. Step 5: Solve for x
    x = 13,968,216.12/5,947.94
  6. Step 6: Final answer
    x = 2,348.41

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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.