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Finding the Fourth Proportional to 4,111.96, 5,667.90 and 3,271

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Solution

The fourth proportional to 4,111.96, 5,667.90 and 3,271 is: 4,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.96 : 5,667.90 = 3,271 : x
  2. Step 2: Convert to fraction form
    4,111.96/5,667.90 = 3,271/x
  3. Step 3: Cross multiply
    4,111.96x = 5,667.90 × 3,271
  4. Step 4: Simplify right side
    4,111.96x = 18,539,700.90
  5. Step 5: Solve for x
    x = 18,539,700.90/4,111.96
  6. Step 6: Final answer
    x = 4,508.73

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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.