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Finding the Fourth Proportional to 3,854.23, 5,781.51 and 1,745.47

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Solution

The fourth proportional to 3,854.23, 5,781.51 and 1,745.47 is: 2,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.23 : 5,781.51 = 1,745.47 : x
  2. Step 2: Convert to fraction form
    3,854.23/5,781.51 = 1,745.47/x
  3. Step 3: Cross multiply
    3,854.23x = 5,781.51 × 1,745.47
  4. Step 4: Simplify right side
    3,854.23x = 10,091,452.26
  5. Step 5: Solve for x
    x = 10,091,452.26/3,854.23
  6. Step 6: Final answer
    x = 2,618.28

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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.