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Finding the Fourth Proportional to 3,659.50, 5,041.20 and 2,774.44

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Solution

The fourth proportional to 3,659.50, 5,041.20 and 2,774.44 is: 3,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.50 : 5,041.20 = 2,774.44 : x
  2. Step 2: Convert to fraction form
    3,659.50/5,041.20 = 2,774.44/x
  3. Step 3: Cross multiply
    3,659.50x = 5,041.20 × 2,774.44
  4. Step 4: Simplify right side
    3,659.50x = 13,986,506.93
  5. Step 5: Solve for x
    x = 13,986,506.93/3,659.50
  6. Step 6: Final answer
    x = 3,821.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.