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Finding the Fourth Proportional to 3,758.12, 5,634.52 and 1,809.32

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Solution

The fourth proportional to 3,758.12, 5,634.52 and 1,809.32 is: 2,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.12 : 5,634.52 = 1,809.32 : x
  2. Step 2: Convert to fraction form
    3,758.12/5,634.52 = 1,809.32/x
  3. Step 3: Cross multiply
    3,758.12x = 5,634.52 × 1,809.32
  4. Step 4: Simplify right side
    3,758.12x = 10,194,649.73
  5. Step 5: Solve for x
    x = 10,194,649.73/3,758.12
  6. Step 6: Final answer
    x = 2,712.70

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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.