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Finding the Fourth Proportional to 3,822.96, 5,733.36 and 1,482.80

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Solution

The fourth proportional to 3,822.96, 5,733.36 and 1,482.80 is: 2,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.96 : 5,733.36 = 1,482.80 : x
  2. Step 2: Convert to fraction form
    3,822.96/5,733.36 = 1,482.80/x
  3. Step 3: Cross multiply
    3,822.96x = 5,733.36 × 1,482.80
  4. Step 4: Simplify right side
    3,822.96x = 8,501,426.21
  5. Step 5: Solve for x
    x = 8,501,426.21/3,822.96
  6. Step 6: Final answer
    x = 2,223.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.