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Finding the Fourth Proportional to 3,885.08, 5,827.64 and 1,111.80

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Solution

The fourth proportional to 3,885.08, 5,827.64 and 1,111.80 is: 1,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.08 : 5,827.64 = 1,111.80 : x
  2. Step 2: Convert to fraction form
    3,885.08/5,827.64 = 1,111.80/x
  3. Step 3: Cross multiply
    3,885.08x = 5,827.64 × 1,111.80
  4. Step 4: Simplify right side
    3,885.08x = 6,479,170.15
  5. Step 5: Solve for x
    x = 6,479,170.15/3,885.08
  6. Step 6: Final answer
    x = 1,667.71

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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.