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Finding the Fourth Proportional to 5,565.56, 7,680.57 and 3,797.74

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Solution

The fourth proportional to 5,565.56, 7,680.57 and 3,797.74 is: 5,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.56 : 7,680.57 = 3,797.74 : x
  2. Step 2: Convert to fraction form
    5,565.56/7,680.57 = 3,797.74/x
  3. Step 3: Cross multiply
    5,565.56x = 7,680.57 × 3,797.74
  4. Step 4: Simplify right side
    5,565.56x = 29,168,781.43
  5. Step 5: Solve for x
    x = 29,168,781.43/5,565.56
  6. Step 6: Final answer
    x = 5,240.94

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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.