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Finding the Fourth Proportional to 3,834.01, 5,290.26 and 2,155.49

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Solution

The fourth proportional to 3,834.01, 5,290.26 and 2,155.49 is: 2,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.01 : 5,290.26 = 2,155.49 : x
  2. Step 2: Convert to fraction form
    3,834.01/5,290.26 = 2,155.49/x
  3. Step 3: Cross multiply
    3,834.01x = 5,290.26 × 2,155.49
  4. Step 4: Simplify right side
    3,834.01x = 11,403,085.08
  5. Step 5: Solve for x
    x = 11,403,085.08/3,834.01
  6. Step 6: Final answer
    x = 2,974.19

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