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Finding the Fourth Proportional to 3,887.68, 5,830.96 and 1,667.40

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Solution

The fourth proportional to 3,887.68, 5,830.96 and 1,667.40 is: 2,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.68 : 5,830.96 = 1,667.40 : x
  2. Step 2: Convert to fraction form
    3,887.68/5,830.96 = 1,667.40/x
  3. Step 3: Cross multiply
    3,887.68x = 5,830.96 × 1,667.40
  4. Step 4: Simplify right side
    3,887.68x = 9,722,542.70
  5. Step 5: Solve for x
    x = 9,722,542.70/3,887.68
  6. Step 6: Final answer
    x = 2,500.86

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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.