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Finding the Fourth Proportional to 3,667.08, 5,500.61 and 893.75

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Solution

The fourth proportional to 3,667.08, 5,500.61 and 893.75 is: 1,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.08 : 5,500.61 = 893.75 : x
  2. Step 2: Convert to fraction form
    3,667.08/5,500.61 = 893.75/x
  3. Step 3: Cross multiply
    3,667.08x = 5,500.61 × 893.75
  4. Step 4: Simplify right side
    3,667.08x = 4,916,170.19
  5. Step 5: Solve for x
    x = 4,916,170.19/3,667.08
  6. Step 6: Final answer
    x = 1,340.62

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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.