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Finding the Fourth Proportional to 5,565.92, 7,680.63 and 3,047.57

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Solution

The fourth proportional to 5,565.92, 7,680.63 and 3,047.57 is: 4,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.92 : 7,680.63 = 3,047.57 : x
  2. Step 2: Convert to fraction form
    5,565.92/7,680.63 = 3,047.57/x
  3. Step 3: Cross multiply
    5,565.92x = 7,680.63 × 3,047.57
  4. Step 4: Simplify right side
    5,565.92x = 23,407,257.57
  5. Step 5: Solve for x
    x = 23,407,257.57/5,565.92
  6. Step 6: Final answer
    x = 4,205.46

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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.