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Finding the Fourth Proportional to 3,492.78, 5,233.02 and 1,845.69

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Solution

The fourth proportional to 3,492.78, 5,233.02 and 1,845.69 is: 2,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.78 : 5,233.02 = 1,845.69 : x
  2. Step 2: Convert to fraction form
    3,492.78/5,233.02 = 1,845.69/x
  3. Step 3: Cross multiply
    3,492.78x = 5,233.02 × 1,845.69
  4. Step 4: Simplify right side
    3,492.78x = 9,658,532.68
  5. Step 5: Solve for x
    x = 9,658,532.68/3,492.78
  6. Step 6: Final answer
    x = 2,765.29

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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.