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Finding the Fourth Proportional to 3,745.92, 5,168.40 and 2,421.36

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Solution

The fourth proportional to 3,745.92, 5,168.40 and 2,421.36 is: 3,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.92 : 5,168.40 = 2,421.36 : x
  2. Step 2: Convert to fraction form
    3,745.92/5,168.40 = 2,421.36/x
  3. Step 3: Cross multiply
    3,745.92x = 5,168.40 × 2,421.36
  4. Step 4: Simplify right side
    3,745.92x = 12,514,557.02
  5. Step 5: Solve for x
    x = 12,514,557.02/3,745.92
  6. Step 6: Final answer
    x = 3,340.85

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Why These Related Problems?

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