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Finding the Fourth Proportional to 3,661.17, 5,492.10 and 1,469.39

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Solution

The fourth proportional to 3,661.17, 5,492.10 and 1,469.39 is: 2,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.17 : 5,492.10 = 1,469.39 : x
  2. Step 2: Convert to fraction form
    3,661.17/5,492.10 = 1,469.39/x
  3. Step 3: Cross multiply
    3,661.17x = 5,492.10 × 1,469.39
  4. Step 4: Simplify right side
    3,661.17x = 8,070,045.76
  5. Step 5: Solve for x
    x = 8,070,045.76/3,661.17
  6. Step 6: Final answer
    x = 2,204.22

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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.