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Finding the Fourth Proportional to 5,458.60, 8,197.80 and 4,778.20

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Solution

The fourth proportional to 5,458.60, 8,197.80 and 4,778.20 is: 7,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.60 : 8,197.80 = 4,778.20 : x
  2. Step 2: Convert to fraction form
    5,458.60/8,197.80 = 4,778.20/x
  3. Step 3: Cross multiply
    5,458.60x = 8,197.80 × 4,778.20
  4. Step 4: Simplify right side
    5,458.60x = 39,170,727.96
  5. Step 5: Solve for x
    x = 39,170,727.96/5,458.60
  6. Step 6: Final answer
    x = 7,175.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.