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Finding the Fourth Proportional to 3,242.00, 4,471.49 and 2,794.64

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Solution

The fourth proportional to 3,242.00, 4,471.49 and 2,794.64 is: 3,854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.00 : 4,471.49 = 2,794.64 : x
  2. Step 2: Convert to fraction form
    3,242.00/4,471.49 = 2,794.64/x
  3. Step 3: Cross multiply
    3,242.00x = 4,471.49 × 2,794.64
  4. Step 4: Simplify right side
    3,242.00x = 12,496,168.48
  5. Step 5: Solve for x
    x = 12,496,168.48/3,242.00
  6. Step 6: Final answer
    x = 3,854.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.