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Finding the Fourth Proportional to 5,659.20, 7,804.71 and 3,770.73

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Solution

The fourth proportional to 5,659.20, 7,804.71 and 3,770.73 is: 5,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.20 : 7,804.71 = 3,770.73 : x
  2. Step 2: Convert to fraction form
    5,659.20/7,804.71 = 3,770.73/x
  3. Step 3: Cross multiply
    5,659.20x = 7,804.71 × 3,770.73
  4. Step 4: Simplify right side
    5,659.20x = 29,429,454.14
  5. Step 5: Solve for x
    x = 29,429,454.14/5,659.20
  6. Step 6: Final answer
    x = 5,200.29

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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.