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Finding the Fourth Proportional to 3,861, 5,791.72 and 1,228.32

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Solution

The fourth proportional to 3,861, 5,791.72 and 1,228.32 is: 1,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861 : 5,791.72 = 1,228.32 : x
  2. Step 2: Convert to fraction form
    3,861/5,791.72 = 1,228.32/x
  3. Step 3: Cross multiply
    3,861x = 5,791.72 × 1,228.32
  4. Step 4: Simplify right side
    3,861x = 7,114,085.51
  5. Step 5: Solve for x
    x = 7,114,085.51/3,861
  6. Step 6: Final answer
    x = 1,842.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.