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Finding the Fourth Proportional to 3,671.97, 5,507.33 and 1,206.80

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Solution

The fourth proportional to 3,671.97, 5,507.33 and 1,206.80 is: 1,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.97 : 5,507.33 = 1,206.80 : x
  2. Step 2: Convert to fraction form
    3,671.97/5,507.33 = 1,206.80/x
  3. Step 3: Cross multiply
    3,671.97x = 5,507.33 × 1,206.80
  4. Step 4: Simplify right side
    3,671.97x = 6,646,232.93
  5. Step 5: Solve for x
    x = 6,646,232.93/3,671.97
  6. Step 6: Final answer
    x = 1,809.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.