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Finding the Fourth Proportional to 3,669.68, 5,504.70 and 1,204.40

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Solution

The fourth proportional to 3,669.68, 5,504.70 and 1,204.40 is: 1,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.68 : 5,504.70 = 1,204.40 : x
  2. Step 2: Convert to fraction form
    3,669.68/5,504.70 = 1,204.40/x
  3. Step 3: Cross multiply
    3,669.68x = 5,504.70 × 1,204.40
  4. Step 4: Simplify right side
    3,669.68x = 6,629,860.68
  5. Step 5: Solve for x
    x = 6,629,860.68/3,669.68
  6. Step 6: Final answer
    x = 1,806.66

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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.