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Finding the Fourth Proportional to 3,884.34, 5,826.70 and 1,111.40

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Solution

The fourth proportional to 3,884.34, 5,826.70 and 1,111.40 is: 1,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.34 : 5,826.70 = 1,111.40 : x
  2. Step 2: Convert to fraction form
    3,884.34/5,826.70 = 1,111.40/x
  3. Step 3: Cross multiply
    3,884.34x = 5,826.70 × 1,111.40
  4. Step 4: Simplify right side
    3,884.34x = 6,475,794.38
  5. Step 5: Solve for x
    x = 6,475,794.38/3,884.34
  6. Step 6: Final answer
    x = 1,667.15

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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.