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Finding the Fourth Proportional to 3,673.89, 5,509.65 and 1,208.14

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Solution

The fourth proportional to 3,673.89, 5,509.65 and 1,208.14 is: 1,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.89 : 5,509.65 = 1,208.14 : x
  2. Step 2: Convert to fraction form
    3,673.89/5,509.65 = 1,208.14/x
  3. Step 3: Cross multiply
    3,673.89x = 5,509.65 × 1,208.14
  4. Step 4: Simplify right side
    3,673.89x = 6,656,419.31
  5. Step 5: Solve for x
    x = 6,656,419.31/3,673.89
  6. Step 6: Final answer
    x = 1,811.82

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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.