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Finding the Fourth Proportional to 5,565.45, 7,680.50 and 3,047.67

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Solution

The fourth proportional to 5,565.45, 7,680.50 and 3,047.67 is: 4,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.45 : 7,680.50 = 3,047.67 : x
  2. Step 2: Convert to fraction form
    5,565.45/7,680.50 = 3,047.67/x
  3. Step 3: Cross multiply
    5,565.45x = 7,680.50 × 3,047.67
  4. Step 4: Simplify right side
    5,565.45x = 23,407,637.05
  5. Step 5: Solve for x
    x = 23,407,637.05/5,565.45
  6. Step 6: Final answer
    x = 4,205.88

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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.