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Finding the Fourth Proportional to 5,565.77, 7,680.98 and 3,047.73

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Solution

The fourth proportional to 5,565.77, 7,680.98 and 3,047.73 is: 4,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.77 : 7,680.98 = 3,047.73 : x
  2. Step 2: Convert to fraction form
    5,565.77/7,680.98 = 3,047.73/x
  3. Step 3: Cross multiply
    5,565.77x = 7,680.98 × 3,047.73
  4. Step 4: Simplify right side
    5,565.77x = 23,409,553.18
  5. Step 5: Solve for x
    x = 23,409,553.18/5,565.77
  6. Step 6: Final answer
    x = 4,205.99

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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.