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Finding the Fourth Proportional to 4,086.72, 6,159.98 and 3,736.13

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Solution

The fourth proportional to 4,086.72, 6,159.98 and 3,736.13 is: 5,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.72 : 6,159.98 = 3,736.13 : x
  2. Step 2: Convert to fraction form
    4,086.72/6,159.98 = 3,736.13/x
  3. Step 3: Cross multiply
    4,086.72x = 6,159.98 × 3,736.13
  4. Step 4: Simplify right side
    4,086.72x = 23,014,464.62
  5. Step 5: Solve for x
    x = 23,014,464.62/4,086.72
  6. Step 6: Final answer
    x = 5,631.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.