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Finding the Fourth Proportional to 3,885.14, 5,826.73 and 1,111.83

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Solution

The fourth proportional to 3,885.14, 5,826.73 and 1,111.83 is: 1,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.14 : 5,826.73 = 1,111.83 : x
  2. Step 2: Convert to fraction form
    3,885.14/5,826.73 = 1,111.83/x
  3. Step 3: Cross multiply
    3,885.14x = 5,826.73 × 1,111.83
  4. Step 4: Simplify right side
    3,885.14x = 6,478,333.22
  5. Step 5: Solve for x
    x = 6,478,333.22/3,885.14
  6. Step 6: Final answer
    x = 1,667.46

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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.