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Finding the Fourth Proportional to 3,766.56, 5,641.20 and 2,031

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Solution

The fourth proportional to 3,766.56, 5,641.20 and 2,031 is: 3,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.56 : 5,641.20 = 2,031 : x
  2. Step 2: Convert to fraction form
    3,766.56/5,641.20 = 2,031/x
  3. Step 3: Cross multiply
    3,766.56x = 5,641.20 × 2,031
  4. Step 4: Simplify right side
    3,766.56x = 11,457,277.20
  5. Step 5: Solve for x
    x = 11,457,277.20/3,766.56
  6. Step 6: Final answer
    x = 3,041.84

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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.