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Finding the Fourth Proportional to 3,745.34, 5,167.86 and 2,329.44

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Solution

The fourth proportional to 3,745.34, 5,167.86 and 2,329.44 is: 3,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.34 : 5,167.86 = 2,329.44 : x
  2. Step 2: Convert to fraction form
    3,745.34/5,167.86 = 2,329.44/x
  3. Step 3: Cross multiply
    3,745.34x = 5,167.86 × 2,329.44
  4. Step 4: Simplify right side
    3,745.34x = 12,038,219.80
  5. Step 5: Solve for x
    x = 12,038,219.80/3,745.34
  6. Step 6: Final answer
    x = 3,214.19

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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.