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Finding the Fourth Proportional to 3,745.78, 5,167.66 and 2,328.46

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Solution

The fourth proportional to 3,745.78, 5,167.66 and 2,328.46 is: 3,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.78 : 5,167.66 = 2,328.46 : x
  2. Step 2: Convert to fraction form
    3,745.78/5,167.66 = 2,328.46/x
  3. Step 3: Cross multiply
    3,745.78x = 5,167.66 × 2,328.46
  4. Step 4: Simplify right side
    3,745.78x = 12,032,689.60
  5. Step 5: Solve for x
    x = 12,032,689.60/3,745.78
  6. Step 6: Final answer
    x = 3,212.33

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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.