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Finding the Fourth Proportional to 5,761.33, 8,644.02 and 3,298.22

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Solution

The fourth proportional to 5,761.33, 8,644.02 and 3,298.22 is: 4,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.33 : 8,644.02 = 3,298.22 : x
  2. Step 2: Convert to fraction form
    5,761.33/8,644.02 = 3,298.22/x
  3. Step 3: Cross multiply
    5,761.33x = 8,644.02 × 3,298.22
  4. Step 4: Simplify right side
    5,761.33x = 28,509,879.64
  5. Step 5: Solve for x
    x = 28,509,879.64/5,761.33
  6. Step 6: Final answer
    x = 4,948.49

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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.