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Finding the Fourth Proportional to 3,469.39, 5,204.09 and 1,160.89

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Solution

The fourth proportional to 3,469.39, 5,204.09 and 1,160.89 is: 1,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.39 : 5,204.09 = 1,160.89 : x
  2. Step 2: Convert to fraction form
    3,469.39/5,204.09 = 1,160.89/x
  3. Step 3: Cross multiply
    3,469.39x = 5,204.09 × 1,160.89
  4. Step 4: Simplify right side
    3,469.39x = 6,041,401.71
  5. Step 5: Solve for x
    x = 6,041,401.71/3,469.39
  6. Step 6: Final answer
    x = 1,741.34

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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.