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Finding the Fourth Proportional to 5,982.40, 8,978.24 and 4,146.38

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Solution

The fourth proportional to 5,982.40, 8,978.24 and 4,146.38 is: 6,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.40 : 8,978.24 = 4,146.38 : x
  2. Step 2: Convert to fraction form
    5,982.40/8,978.24 = 4,146.38/x
  3. Step 3: Cross multiply
    5,982.40x = 8,978.24 × 4,146.38
  4. Step 4: Simplify right side
    5,982.40x = 37,227,194.77
  5. Step 5: Solve for x
    x = 37,227,194.77/5,982.40
  6. Step 6: Final answer
    x = 6,222.79

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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.