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Finding the Fourth Proportional to 3,951.60, 5,928.05 and 1,486.62

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Solution

The fourth proportional to 3,951.60, 5,928.05 and 1,486.62 is: 2,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.60 : 5,928.05 = 1,486.62 : x
  2. Step 2: Convert to fraction form
    3,951.60/5,928.05 = 1,486.62/x
  3. Step 3: Cross multiply
    3,951.60x = 5,928.05 × 1,486.62
  4. Step 4: Simplify right side
    3,951.60x = 8,812,757.69
  5. Step 5: Solve for x
    x = 8,812,757.69/3,951.60
  6. Step 6: Final answer
    x = 2,230.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.