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Finding the Fourth Proportional to 3,849.52, 5,313.20 and 2,452

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Solution

The fourth proportional to 3,849.52, 5,313.20 and 2,452 is: 3,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.52 : 5,313.20 = 2,452 : x
  2. Step 2: Convert to fraction form
    3,849.52/5,313.20 = 2,452/x
  3. Step 3: Cross multiply
    3,849.52x = 5,313.20 × 2,452
  4. Step 4: Simplify right side
    3,849.52x = 13,027,966.40
  5. Step 5: Solve for x
    x = 13,027,966.40/3,849.52
  6. Step 6: Final answer
    x = 3,384.31

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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.