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Finding the Fourth Proportional to 5,647.68, 8,475.48 and 2,184.84

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Solution

The fourth proportional to 5,647.68, 8,475.48 and 2,184.84 is: 3,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.68 : 8,475.48 = 2,184.84 : x
  2. Step 2: Convert to fraction form
    5,647.68/8,475.48 = 2,184.84/x
  3. Step 3: Cross multiply
    5,647.68x = 8,475.48 × 2,184.84
  4. Step 4: Simplify right side
    5,647.68x = 18,517,567.72
  5. Step 5: Solve for x
    x = 18,517,567.72/5,647.68
  6. Step 6: Final answer
    x = 3,278.79

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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.