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Finding the Fourth Proportional to 3,172.61, 4,758.43 and 1,092.29

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Solution

The fourth proportional to 3,172.61, 4,758.43 and 1,092.29 is: 1,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.61 : 4,758.43 = 1,092.29 : x
  2. Step 2: Convert to fraction form
    3,172.61/4,758.43 = 1,092.29/x
  3. Step 3: Cross multiply
    3,172.61x = 4,758.43 × 1,092.29
  4. Step 4: Simplify right side
    3,172.61x = 5,197,585.50
  5. Step 5: Solve for x
    x = 5,197,585.50/3,172.61
  6. Step 6: Final answer
    x = 1,638.27

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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.