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Finding the Fourth Proportional to 3,509.88, 5,265.34 and 1,169.12

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Solution

The fourth proportional to 3,509.88, 5,265.34 and 1,169.12 is: 1,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.88 : 5,265.34 = 1,169.12 : x
  2. Step 2: Convert to fraction form
    3,509.88/5,265.34 = 1,169.12/x
  3. Step 3: Cross multiply
    3,509.88x = 5,265.34 × 1,169.12
  4. Step 4: Simplify right side
    3,509.88x = 6,155,814.30
  5. Step 5: Solve for x
    x = 6,155,814.30/3,509.88
  6. Step 6: Final answer
    x = 1,753.85

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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.