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Finding the Fourth Proportional to 3,662, 5,492.83 and 1,196.51

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Solution

The fourth proportional to 3,662, 5,492.83 and 1,196.51 is: 1,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662 : 5,492.83 = 1,196.51 : x
  2. Step 2: Convert to fraction form
    3,662/5,492.83 = 1,196.51/x
  3. Step 3: Cross multiply
    3,662x = 5,492.83 × 1,196.51
  4. Step 4: Simplify right side
    3,662x = 6,572,226.02
  5. Step 5: Solve for x
    x = 6,572,226.02/3,662
  6. Step 6: Final answer
    x = 1,794.71

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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.