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Finding the Fourth Proportional to 5,822.87, 8,026.21 and 3,933.84

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Solution

The fourth proportional to 5,822.87, 8,026.21 and 3,933.84 is: 5,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.87 : 8,026.21 = 3,933.84 : x
  2. Step 2: Convert to fraction form
    5,822.87/8,026.21 = 3,933.84/x
  3. Step 3: Cross multiply
    5,822.87x = 8,026.21 × 3,933.84
  4. Step 4: Simplify right side
    5,822.87x = 31,573,816.11
  5. Step 5: Solve for x
    x = 31,573,816.11/5,822.87
  6. Step 6: Final answer
    x = 5,422.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.