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Finding the Fourth Proportional to 5,947.62, 8,920.66 and 1,565.41

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Solution

The fourth proportional to 5,947.62, 8,920.66 and 1,565.41 is: 2,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.62 : 8,920.66 = 1,565.41 : x
  2. Step 2: Convert to fraction form
    5,947.62/8,920.66 = 1,565.41/x
  3. Step 3: Cross multiply
    5,947.62x = 8,920.66 × 1,565.41
  4. Step 4: Simplify right side
    5,947.62x = 13,964,490.37
  5. Step 5: Solve for x
    x = 13,964,490.37/5,947.62
  6. Step 6: Final answer
    x = 2,347.91

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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.