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Finding the Fourth Proportional to 3,242.02, 4,471.08 and 2,744.14

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Solution

The fourth proportional to 3,242.02, 4,471.08 and 2,744.14 is: 3,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.02 : 4,471.08 = 2,744.14 : x
  2. Step 2: Convert to fraction form
    3,242.02/4,471.08 = 2,744.14/x
  3. Step 3: Cross multiply
    3,242.02x = 4,471.08 × 2,744.14
  4. Step 4: Simplify right side
    3,242.02x = 12,269,269.47
  5. Step 5: Solve for x
    x = 12,269,269.47/3,242.02
  6. Step 6: Final answer
    x = 3,784.45

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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.