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Finding the Fourth Proportional to 4,170.91, 5,742.74 and 3,540.12

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Solution

The fourth proportional to 4,170.91, 5,742.74 and 3,540.12 is: 4,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.91 : 5,742.74 = 3,540.12 : x
  2. Step 2: Convert to fraction form
    4,170.91/5,742.74 = 3,540.12/x
  3. Step 3: Cross multiply
    4,170.91x = 5,742.74 × 3,540.12
  4. Step 4: Simplify right side
    4,170.91x = 20,329,971.03
  5. Step 5: Solve for x
    x = 20,329,971.03/4,170.91
  6. Step 6: Final answer
    x = 4,874.23

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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.