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Finding the Fourth Proportional to 3,215.64, 4,815.24 and 2,849.34

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Solution

The fourth proportional to 3,215.64, 4,815.24 and 2,849.34 is: 4,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.64 : 4,815.24 = 2,849.34 : x
  2. Step 2: Convert to fraction form
    3,215.64/4,815.24 = 2,849.34/x
  3. Step 3: Cross multiply
    3,215.64x = 4,815.24 × 2,849.34
  4. Step 4: Simplify right side
    3,215.64x = 13,720,255.94
  5. Step 5: Solve for x
    x = 13,720,255.94/3,215.64
  6. Step 6: Final answer
    x = 4,266.73

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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.