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Finding the Fourth Proportional to 5,565.50, 7,680.63 and 3,081.50

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Solution

The fourth proportional to 5,565.50, 7,680.63 and 3,081.50 is: 4,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.50 : 7,680.63 = 3,081.50 : x
  2. Step 2: Convert to fraction form
    5,565.50/7,680.63 = 3,081.50/x
  3. Step 3: Cross multiply
    5,565.50x = 7,680.63 × 3,081.50
  4. Step 4: Simplify right side
    5,565.50x = 23,667,861.35
  5. Step 5: Solve for x
    x = 23,667,861.35/5,565.50
  6. Step 6: Final answer
    x = 4,252.60

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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.