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Finding the Fourth Proportional to 3,736.71, 5,601.02 and 1,544.31

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Solution

The fourth proportional to 3,736.71, 5,601.02 and 1,544.31 is: 2,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.71 : 5,601.02 = 1,544.31 : x
  2. Step 2: Convert to fraction form
    3,736.71/5,601.02 = 1,544.31/x
  3. Step 3: Cross multiply
    3,736.71x = 5,601.02 × 1,544.31
  4. Step 4: Simplify right side
    3,736.71x = 8,649,703.47
  5. Step 5: Solve for x
    x = 8,649,703.47/3,736.71
  6. Step 6: Final answer
    x = 2,314.79

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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.