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Finding the Fourth Proportional to 3,662.66, 5,492.54 and 1,322.22

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Solution

The fourth proportional to 3,662.66, 5,492.54 and 1,322.22 is: 1,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.66 : 5,492.54 = 1,322.22 : x
  2. Step 2: Convert to fraction form
    3,662.66/5,492.54 = 1,322.22/x
  3. Step 3: Cross multiply
    3,662.66x = 5,492.54 × 1,322.22
  4. Step 4: Simplify right side
    3,662.66x = 7,262,346.24
  5. Step 5: Solve for x
    x = 7,262,346.24/3,662.66
  6. Step 6: Final answer
    x = 1,982.81

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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.