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Finding the Fourth Proportional to 5,478.80, 8,207.40 and 3,167.60

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Solution

The fourth proportional to 5,478.80, 8,207.40 and 3,167.60 is: 4,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.80 : 8,207.40 = 3,167.60 : x
  2. Step 2: Convert to fraction form
    5,478.80/8,207.40 = 3,167.60/x
  3. Step 3: Cross multiply
    5,478.80x = 8,207.40 × 3,167.60
  4. Step 4: Simplify right side
    5,478.80x = 25,997,760.24
  5. Step 5: Solve for x
    x = 25,997,760.24/5,478.80
  6. Step 6: Final answer
    x = 4,745.16

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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.