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Finding the Fourth Proportional to 3,684.52, 5,526.82 and 1,492.73

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Solution

The fourth proportional to 3,684.52, 5,526.82 and 1,492.73 is: 2,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.52 : 5,526.82 = 1,492.73 : x
  2. Step 2: Convert to fraction form
    3,684.52/5,526.82 = 1,492.73/x
  3. Step 3: Cross multiply
    3,684.52x = 5,526.82 × 1,492.73
  4. Step 4: Simplify right side
    3,684.52x = 8,250,067.67
  5. Step 5: Solve for x
    x = 8,250,067.67/3,684.52
  6. Step 6: Final answer
    x = 2,239.12

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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.