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Finding the Fourth Proportional to 3,464.64, 5,202 and 2,144.58

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Solution

The fourth proportional to 3,464.64, 5,202 and 2,144.58 is: 3,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.64 : 5,202 = 2,144.58 : x
  2. Step 2: Convert to fraction form
    3,464.64/5,202 = 2,144.58/x
  3. Step 3: Cross multiply
    3,464.64x = 5,202 × 2,144.58
  4. Step 4: Simplify right side
    3,464.64x = 11,156,105.16
  5. Step 5: Solve for x
    x = 11,156,105.16/3,464.64
  6. Step 6: Final answer
    x = 3,219.99

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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.