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Finding the Fourth Proportional to 5,647.68, 8,479.20 and 3,186.90

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Solution

The fourth proportional to 5,647.68, 8,479.20 and 3,186.90 is: 4,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.68 : 8,479.20 = 3,186.90 : x
  2. Step 2: Convert to fraction form
    5,647.68/8,479.20 = 3,186.90/x
  3. Step 3: Cross multiply
    5,647.68x = 8,479.20 × 3,186.90
  4. Step 4: Simplify right side
    5,647.68x = 27,022,362.48
  5. Step 5: Solve for x
    x = 27,022,362.48/5,647.68
  6. Step 6: Final answer
    x = 4,784.68

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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.