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Finding the Fourth Proportional to 3,813.77, 5,262.84 and 2,321.84

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Solution

The fourth proportional to 3,813.77, 5,262.84 and 2,321.84 is: 3,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.77 : 5,262.84 = 2,321.84 : x
  2. Step 2: Convert to fraction form
    3,813.77/5,262.84 = 2,321.84/x
  3. Step 3: Cross multiply
    3,813.77x = 5,262.84 × 2,321.84
  4. Step 4: Simplify right side
    3,813.77x = 12,219,485.58
  5. Step 5: Solve for x
    x = 12,219,485.58/3,813.77
  6. Step 6: Final answer
    x = 3,204.04

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