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Finding the Fourth Proportional to 3,716.37, 5,128.38 and 2,037.42

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Solution

The fourth proportional to 3,716.37, 5,128.38 and 2,037.42 is: 2,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.37 : 5,128.38 = 2,037.42 : x
  2. Step 2: Convert to fraction form
    3,716.37/5,128.38 = 2,037.42/x
  3. Step 3: Cross multiply
    3,716.37x = 5,128.38 × 2,037.42
  4. Step 4: Simplify right side
    3,716.37x = 10,448,663.98
  5. Step 5: Solve for x
    x = 10,448,663.98/3,716.37
  6. Step 6: Final answer
    x = 2,811.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.