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Finding the Fourth Proportional to 3,859.44, 5,790 and 1,551.12

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Solution

The fourth proportional to 3,859.44, 5,790 and 1,551.12 is: 2,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.44 : 5,790 = 1,551.12 : x
  2. Step 2: Convert to fraction form
    3,859.44/5,790 = 1,551.12/x
  3. Step 3: Cross multiply
    3,859.44x = 5,790 × 1,551.12
  4. Step 4: Simplify right side
    3,859.44x = 8,980,984.80
  5. Step 5: Solve for x
    x = 8,980,984.80/3,859.44
  6. Step 6: Final answer
    x = 2,327.02

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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.