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Finding the Fourth Proportional to 3,865.57, 5,757.58 and 3,784.57

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Solution

The fourth proportional to 3,865.57, 5,757.58 and 3,784.57 is: 5,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.57 : 5,757.58 = 3,784.57 : x
  2. Step 2: Convert to fraction form
    3,865.57/5,757.58 = 3,784.57/x
  3. Step 3: Cross multiply
    3,865.57x = 5,757.58 × 3,784.57
  4. Step 4: Simplify right side
    3,865.57x = 21,789,964.54
  5. Step 5: Solve for x
    x = 21,789,964.54/3,865.57
  6. Step 6: Final answer
    x = 5,636.93

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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.