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Finding the Fourth Proportional to 4,193.93, 5,788.45 and 3,197.42

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Solution

The fourth proportional to 4,193.93, 5,788.45 and 3,197.42 is: 4,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.93 : 5,788.45 = 3,197.42 : x
  2. Step 2: Convert to fraction form
    4,193.93/5,788.45 = 3,197.42/x
  3. Step 3: Cross multiply
    4,193.93x = 5,788.45 × 3,197.42
  4. Step 4: Simplify right side
    4,193.93x = 18,508,128.26
  5. Step 5: Solve for x
    x = 18,508,128.26/4,193.93
  6. Step 6: Final answer
    x = 4,413.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.