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Finding the Fourth Proportional to 3,469.12, 5,203.68 and 1,160.80

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Solution

The fourth proportional to 3,469.12, 5,203.68 and 1,160.80 is: 1,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.12 : 5,203.68 = 1,160.80 : x
  2. Step 2: Convert to fraction form
    3,469.12/5,203.68 = 1,160.80/x
  3. Step 3: Cross multiply
    3,469.12x = 5,203.68 × 1,160.80
  4. Step 4: Simplify right side
    3,469.12x = 6,040,431.74
  5. Step 5: Solve for x
    x = 6,040,431.74/3,469.12
  6. Step 6: Final answer
    x = 1,741.20

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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.