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Finding the Fourth Proportional to 3,811.44, 5,717.16 and 1,758

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Solution

The fourth proportional to 3,811.44, 5,717.16 and 1,758 is: 2,637

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.44 : 5,717.16 = 1,758 : x
  2. Step 2: Convert to fraction form
    3,811.44/5,717.16 = 1,758/x
  3. Step 3: Cross multiply
    3,811.44x = 5,717.16 × 1,758
  4. Step 4: Simplify right side
    3,811.44x = 10,050,767.28
  5. Step 5: Solve for x
    x = 10,050,767.28/3,811.44
  6. Step 6: Final answer
    x = 2,637

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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.