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Finding the Fourth Proportional to 3,513.79, 5,269.47 and 1,204.75

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Solution

The fourth proportional to 3,513.79, 5,269.47 and 1,204.75 is: 1,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.79 : 5,269.47 = 1,204.75 : x
  2. Step 2: Convert to fraction form
    3,513.79/5,269.47 = 1,204.75/x
  3. Step 3: Cross multiply
    3,513.79x = 5,269.47 × 1,204.75
  4. Step 4: Simplify right side
    3,513.79x = 6,348,393.98
  5. Step 5: Solve for x
    x = 6,348,393.98/3,513.79
  6. Step 6: Final answer
    x = 1,806.71

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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.