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Finding the Fourth Proportional to 3,822.99, 5,733.27 and 1,482.83

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Solution

The fourth proportional to 3,822.99, 5,733.27 and 1,482.83 is: 2,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.99 : 5,733.27 = 1,482.83 : x
  2. Step 2: Convert to fraction form
    3,822.99/5,733.27 = 1,482.83/x
  3. Step 3: Cross multiply
    3,822.99x = 5,733.27 × 1,482.83
  4. Step 4: Simplify right side
    3,822.99x = 8,501,436.09
  5. Step 5: Solve for x
    x = 8,501,436.09/3,822.99
  6. Step 6: Final answer
    x = 2,223.77

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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.