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Finding the Fourth Proportional to 3,845.82, 5,743.11 and 3,804.69

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Solution

The fourth proportional to 3,845.82, 5,743.11 and 3,804.69 is: 5,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.82 : 5,743.11 = 3,804.69 : x
  2. Step 2: Convert to fraction form
    3,845.82/5,743.11 = 3,804.69/x
  3. Step 3: Cross multiply
    3,845.82x = 5,743.11 × 3,804.69
  4. Step 4: Simplify right side
    3,845.82x = 21,850,753.19
  5. Step 5: Solve for x
    x = 21,850,753.19/3,845.82
  6. Step 6: Final answer
    x = 5,681.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.