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Finding the Fourth Proportional to 5,832.30, 8,745.24 and 3,985.50

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Solution

The fourth proportional to 5,832.30, 8,745.24 and 3,985.50 is: 5,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.30 : 8,745.24 = 3,985.50 : x
  2. Step 2: Convert to fraction form
    5,832.30/8,745.24 = 3,985.50/x
  3. Step 3: Cross multiply
    5,832.30x = 8,745.24 × 3,985.50
  4. Step 4: Simplify right side
    5,832.30x = 34,854,154.02
  5. Step 5: Solve for x
    x = 34,854,154.02/5,832.30
  6. Step 6: Final answer
    x = 5,976.06

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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.