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Finding the Fourth Proportional to 5,827.92, 8,745.12 and 3,232.32

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Solution

The fourth proportional to 5,827.92, 8,745.12 and 3,232.32 is: 4,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.92 : 8,745.12 = 3,232.32 : x
  2. Step 2: Convert to fraction form
    5,827.92/8,745.12 = 3,232.32/x
  3. Step 3: Cross multiply
    5,827.92x = 8,745.12 × 3,232.32
  4. Step 4: Simplify right side
    5,827.92x = 28,267,026.28
  5. Step 5: Solve for x
    x = 28,267,026.28/5,827.92
  6. Step 6: Final answer
    x = 4,850.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.