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Finding the Fourth Proportional to 5,565.16, 7,680 and 3,081.16

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Solution

The fourth proportional to 5,565.16, 7,680 and 3,081.16 is: 4,252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.16 : 7,680 = 3,081.16 : x
  2. Step 2: Convert to fraction form
    5,565.16/7,680 = 3,081.16/x
  3. Step 3: Cross multiply
    5,565.16x = 7,680 × 3,081.16
  4. Step 4: Simplify right side
    5,565.16x = 23,663,308.80
  5. Step 5: Solve for x
    x = 23,663,308.80/5,565.16
  6. Step 6: Final answer
    x = 4,252.04

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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.