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Finding the Fourth Proportional to 3,811.49, 5,718.90 and 2,054.46

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Solution

The fourth proportional to 3,811.49, 5,718.90 and 2,054.46 is: 3,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.49 : 5,718.90 = 2,054.46 : x
  2. Step 2: Convert to fraction form
    3,811.49/5,718.90 = 2,054.46/x
  3. Step 3: Cross multiply
    3,811.49x = 5,718.90 × 2,054.46
  4. Step 4: Simplify right side
    3,811.49x = 11,749,280.44
  5. Step 5: Solve for x
    x = 11,749,280.44/3,811.49
  6. Step 6: Final answer
    x = 3,082.60

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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.