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Finding the Fourth Proportional to 5,324.76, 7,983.90 and 3,133.98

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Solution

The fourth proportional to 5,324.76, 7,983.90 and 3,133.98 is: 4,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.76 : 7,983.90 = 3,133.98 : x
  2. Step 2: Convert to fraction form
    5,324.76/7,983.90 = 3,133.98/x
  3. Step 3: Cross multiply
    5,324.76x = 7,983.90 × 3,133.98
  4. Step 4: Simplify right side
    5,324.76x = 25,021,382.92
  5. Step 5: Solve for x
    x = 25,021,382.92/5,324.76
  6. Step 6: Final answer
    x = 4,699.06

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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.