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Finding the Fourth Proportional to 5,960.94, 8,230.14 and 3,607.20

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Solution

The fourth proportional to 5,960.94, 8,230.14 and 3,607.20 is: 4,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.94 : 8,230.14 = 3,607.20 : x
  2. Step 2: Convert to fraction form
    5,960.94/8,230.14 = 3,607.20/x
  3. Step 3: Cross multiply
    5,960.94x = 8,230.14 × 3,607.20
  4. Step 4: Simplify right side
    5,960.94x = 29,687,761.01
  5. Step 5: Solve for x
    x = 29,687,761.01/5,960.94
  6. Step 6: Final answer
    x = 4,980.38

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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.