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Finding the Fourth Proportional to 5,394.48, 8,092.12 and 1,696.68

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Solution

The fourth proportional to 5,394.48, 8,092.12 and 1,696.68 is: 2,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.48 : 8,092.12 = 1,696.68 : x
  2. Step 2: Convert to fraction form
    5,394.48/8,092.12 = 1,696.68/x
  3. Step 3: Cross multiply
    5,394.48x = 8,092.12 × 1,696.68
  4. Step 4: Simplify right side
    5,394.48x = 13,729,738.16
  5. Step 5: Solve for x
    x = 13,729,738.16/5,394.48
  6. Step 6: Final answer
    x = 2,545.15

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1.5x scale

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.