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Finding the Fourth Proportional to 3,238.60, 4,857.90 and 2,271.52

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Solution

The fourth proportional to 3,238.60, 4,857.90 and 2,271.52 is: 3,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.60 : 4,857.90 = 2,271.52 : x
  2. Step 2: Convert to fraction form
    3,238.60/4,857.90 = 2,271.52/x
  3. Step 3: Cross multiply
    3,238.60x = 4,857.90 × 2,271.52
  4. Step 4: Simplify right side
    3,238.60x = 11,034,817.01
  5. Step 5: Solve for x
    x = 11,034,817.01/3,238.60
  6. Step 6: Final answer
    x = 3,407.28

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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.