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Finding the Fourth Proportional to 3,239.90, 4,857.45 and 2,197.30

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Solution

The fourth proportional to 3,239.90, 4,857.45 and 2,197.30 is: 3,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.90 : 4,857.45 = 2,197.30 : x
  2. Step 2: Convert to fraction form
    3,239.90/4,857.45 = 2,197.30/x
  3. Step 3: Cross multiply
    3,239.90x = 4,857.45 × 2,197.30
  4. Step 4: Simplify right side
    3,239.90x = 10,673,274.89
  5. Step 5: Solve for x
    x = 10,673,274.89/3,239.90
  6. Step 6: Final answer
    x = 3,294.32

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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.