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Finding the Fourth Proportional to 3,811.57, 5,717.36 and 1,038.25

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Solution

The fourth proportional to 3,811.57, 5,717.36 and 1,038.25 is: 1,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.57 : 5,717.36 = 1,038.25 : x
  2. Step 2: Convert to fraction form
    3,811.57/5,717.36 = 1,038.25/x
  3. Step 3: Cross multiply
    3,811.57x = 5,717.36 × 1,038.25
  4. Step 4: Simplify right side
    3,811.57x = 5,936,049.02
  5. Step 5: Solve for x
    x = 5,936,049.02/3,811.57
  6. Step 6: Final answer
    x = 1,557.38

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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.