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Finding the Fourth Proportional to 3,671.27, 5,505.89 and 1,205.63

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Solution

The fourth proportional to 3,671.27, 5,505.89 and 1,205.63 is: 1,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.27 : 5,505.89 = 1,205.63 : x
  2. Step 2: Convert to fraction form
    3,671.27/5,505.89 = 1,205.63/x
  3. Step 3: Cross multiply
    3,671.27x = 5,505.89 × 1,205.63
  4. Step 4: Simplify right side
    3,671.27x = 6,638,066.16
  5. Step 5: Solve for x
    x = 6,638,066.16/3,671.27
  6. Step 6: Final answer
    x = 1,808.11

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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.