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Finding the Fourth Proportional to 5,565.78, 7,680.48 and 3,047.41

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Solution

The fourth proportional to 5,565.78, 7,680.48 and 3,047.41 is: 4,205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.78 : 7,680.48 = 3,047.41 : x
  2. Step 2: Convert to fraction form
    5,565.78/7,680.48 = 3,047.41/x
  3. Step 3: Cross multiply
    5,565.78x = 7,680.48 × 3,047.41
  4. Step 4: Simplify right side
    5,565.78x = 23,405,571.56
  5. Step 5: Solve for x
    x = 23,405,571.56/5,565.78
  6. Step 6: Final answer
    x = 4,205.26

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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.