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Finding the Fourth Proportional to 3,453.97, 4,767.59 and 2,037.63

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Solution

The fourth proportional to 3,453.97, 4,767.59 and 2,037.63 is: 2,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.97 : 4,767.59 = 2,037.63 : x
  2. Step 2: Convert to fraction form
    3,453.97/4,767.59 = 2,037.63/x
  3. Step 3: Cross multiply
    3,453.97x = 4,767.59 × 2,037.63
  4. Step 4: Simplify right side
    3,453.97x = 9,714,584.41
  5. Step 5: Solve for x
    x = 9,714,584.41/3,453.97
  6. Step 6: Final answer
    x = 2,812.59

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