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Finding the Fourth Proportional to 3,660.87, 5,492.15 and 1,195.87

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Solution

The fourth proportional to 3,660.87, 5,492.15 and 1,195.87 is: 1,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.87 : 5,492.15 = 1,195.87 : x
  2. Step 2: Convert to fraction form
    3,660.87/5,492.15 = 1,195.87/x
  3. Step 3: Cross multiply
    3,660.87x = 5,492.15 × 1,195.87
  4. Step 4: Simplify right side
    3,660.87x = 6,567,902.79
  5. Step 5: Solve for x
    x = 6,567,902.79/3,660.87
  6. Step 6: Final answer
    x = 1,794.08

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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.