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Finding the Fourth Proportional to 3,565.77, 4,922.27 and 2,769.34

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Solution

The fourth proportional to 3,565.77, 4,922.27 and 2,769.34 is: 3,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.77 : 4,922.27 = 2,769.34 : x
  2. Step 2: Convert to fraction form
    3,565.77/4,922.27 = 2,769.34/x
  3. Step 3: Cross multiply
    3,565.77x = 4,922.27 × 2,769.34
  4. Step 4: Simplify right side
    3,565.77x = 13,631,432.66
  5. Step 5: Solve for x
    x = 13,631,432.66/3,565.77
  6. Step 6: Final answer
    x = 3,822.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.