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Finding the Fourth Proportional to 3,565.75, 5,349.38 and 1,344.54

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Solution

The fourth proportional to 3,565.75, 5,349.38 and 1,344.54 is: 2,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.75 : 5,349.38 = 1,344.54 : x
  2. Step 2: Convert to fraction form
    3,565.75/5,349.38 = 1,344.54/x
  3. Step 3: Cross multiply
    3,565.75x = 5,349.38 × 1,344.54
  4. Step 4: Simplify right side
    3,565.75x = 7,192,448.66
  5. Step 5: Solve for x
    x = 7,192,448.66/3,565.75
  6. Step 6: Final answer
    x = 2,017.09

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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.