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Finding the Fourth Proportional to 3,662.22, 5,492.20 and 1,321.93

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Solution

The fourth proportional to 3,662.22, 5,492.20 and 1,321.93 is: 1,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.22 : 5,492.20 = 1,321.93 : x
  2. Step 2: Convert to fraction form
    3,662.22/5,492.20 = 1,321.93/x
  3. Step 3: Cross multiply
    3,662.22x = 5,492.20 × 1,321.93
  4. Step 4: Simplify right side
    3,662.22x = 7,260,312.46
  5. Step 5: Solve for x
    x = 7,260,312.46/3,662.22
  6. Step 6: Final answer
    x = 1,982.49

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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.