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Finding the Fourth Proportional to 3,752.91, 5,634.50 and 2,362.14

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Solution

The fourth proportional to 3,752.91, 5,634.50 and 2,362.14 is: 3,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.91 : 5,634.50 = 2,362.14 : x
  2. Step 2: Convert to fraction form
    3,752.91/5,634.50 = 2,362.14/x
  3. Step 3: Cross multiply
    3,752.91x = 5,634.50 × 2,362.14
  4. Step 4: Simplify right side
    3,752.91x = 13,309,466.02
  5. Step 5: Solve for x
    x = 13,309,466.02/3,752.91
  6. Step 6: Final answer
    x = 3,546.44

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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.