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Finding the Fourth Proportional to 5,644.83, 7,790.00 and 3,286.11

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Solution

The fourth proportional to 5,644.83, 7,790.00 and 3,286.11 is: 4,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.83 : 7,790.00 = 3,286.11 : x
  2. Step 2: Convert to fraction form
    5,644.83/7,790.00 = 3,286.11/x
  3. Step 3: Cross multiply
    5,644.83x = 7,790.00 × 3,286.11
  4. Step 4: Simplify right side
    5,644.83x = 25,598,780.47
  5. Step 5: Solve for x
    x = 25,598,780.47/5,644.83
  6. Step 6: Final answer
    x = 4,534.91

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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.