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Finding the Fourth Proportional to 3,667.60, 5,065.46 and 2,486.62

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Solution

The fourth proportional to 3,667.60, 5,065.46 and 2,486.62 is: 3,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.60 : 5,065.46 = 2,486.62 : x
  2. Step 2: Convert to fraction form
    3,667.60/5,065.46 = 2,486.62/x
  3. Step 3: Cross multiply
    3,667.60x = 5,065.46 × 2,486.62
  4. Step 4: Simplify right side
    3,667.60x = 12,595,874.15
  5. Step 5: Solve for x
    x = 12,595,874.15/3,667.60
  6. Step 6: Final answer
    x = 3,434.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.