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Finding the Fourth Proportional to 5,644.44, 8,468.28 and 2,184.12

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Solution

The fourth proportional to 5,644.44, 8,468.28 and 2,184.12 is: 3,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.44 : 8,468.28 = 2,184.12 : x
  2. Step 2: Convert to fraction form
    5,644.44/8,468.28 = 2,184.12/x
  3. Step 3: Cross multiply
    5,644.44x = 8,468.28 × 2,184.12
  4. Step 4: Simplify right side
    5,644.44x = 18,495,739.71
  5. Step 5: Solve for x
    x = 18,495,739.71/5,644.44
  6. Step 6: Final answer
    x = 3,276.81

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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.