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Finding the Fourth Proportional to 4,037.80, 6,012 and 3,797.32

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Solution

The fourth proportional to 4,037.80, 6,012 and 3,797.32 is: 5,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037.80 : 6,012 = 3,797.32 : x
  2. Step 2: Convert to fraction form
    4,037.80/6,012 = 3,797.32/x
  3. Step 3: Cross multiply
    4,037.80x = 6,012 × 3,797.32
  4. Step 4: Simplify right side
    4,037.80x = 22,829,487.84
  5. Step 5: Solve for x
    x = 22,829,487.84/4,037.80
  6. Step 6: Final answer
    x = 5,653.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.