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Finding the Fourth Proportional to 5,833.53, 8,747.72 and 2,134.80

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Solution

The fourth proportional to 5,833.53, 8,747.72 and 2,134.80 is: 3,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.53 : 8,747.72 = 2,134.80 : x
  2. Step 2: Convert to fraction form
    5,833.53/8,747.72 = 2,134.80/x
  3. Step 3: Cross multiply
    5,833.53x = 8,747.72 × 2,134.80
  4. Step 4: Simplify right side
    5,833.53x = 18,674,632.66
  5. Step 5: Solve for x
    x = 18,674,632.66/5,833.53
  6. Step 6: Final answer
    x = 3,201.26

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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.