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Finding the Fourth Proportional to 3,874.53, 5,805.41 and 2,232.46

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Solution

The fourth proportional to 3,874.53, 5,805.41 and 2,232.46 is: 3,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.53 : 5,805.41 = 2,232.46 : x
  2. Step 2: Convert to fraction form
    3,874.53/5,805.41 = 2,232.46/x
  3. Step 3: Cross multiply
    3,874.53x = 5,805.41 × 2,232.46
  4. Step 4: Simplify right side
    3,874.53x = 12,960,319.93
  5. Step 5: Solve for x
    x = 12,960,319.93/3,874.53
  6. Step 6: Final answer
    x = 3,345.00

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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.