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Finding the Fourth Proportional to 3,884.33, 5,827.48 and 1,111.24

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Solution

The fourth proportional to 3,884.33, 5,827.48 and 1,111.24 is: 1,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.33 : 5,827.48 = 1,111.24 : x
  2. Step 2: Convert to fraction form
    3,884.33/5,827.48 = 1,111.24/x
  3. Step 3: Cross multiply
    3,884.33x = 5,827.48 × 1,111.24
  4. Step 4: Simplify right side
    3,884.33x = 6,475,733.38
  5. Step 5: Solve for x
    x = 6,475,733.38/3,884.33
  6. Step 6: Final answer
    x = 1,667.14

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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.