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Finding the Fourth Proportional to 5,324.52, 7,978.49 and 2,035.83

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Solution

The fourth proportional to 5,324.52, 7,978.49 and 2,035.83 is: 3,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.52 : 7,978.49 = 2,035.83 : x
  2. Step 2: Convert to fraction form
    5,324.52/7,978.49 = 2,035.83/x
  3. Step 3: Cross multiply
    5,324.52x = 7,978.49 × 2,035.83
  4. Step 4: Simplify right side
    5,324.52x = 16,242,839.12
  5. Step 5: Solve for x
    x = 16,242,839.12/5,324.52
  6. Step 6: Final answer
    x = 3,050.57

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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.