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Finding the Fourth Proportional to 3,862.35, 5,788.45 and 2,197.23

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Solution

The fourth proportional to 3,862.35, 5,788.45 and 2,197.23 is: 3,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.35 : 5,788.45 = 2,197.23 : x
  2. Step 2: Convert to fraction form
    3,862.35/5,788.45 = 2,197.23/x
  3. Step 3: Cross multiply
    3,862.35x = 5,788.45 × 2,197.23
  4. Step 4: Simplify right side
    3,862.35x = 12,718,572.21
  5. Step 5: Solve for x
    x = 12,718,572.21/3,862.35
  6. Step 6: Final answer
    x = 3,292.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.