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Finding the Fourth Proportional to 5,745.14, 7,931.62 and 3,759.16

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Solution

The fourth proportional to 5,745.14, 7,931.62 and 3,759.16 is: 5,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.14 : 7,931.62 = 3,759.16 : x
  2. Step 2: Convert to fraction form
    5,745.14/7,931.62 = 3,759.16/x
  3. Step 3: Cross multiply
    5,745.14x = 7,931.62 × 3,759.16
  4. Step 4: Simplify right side
    5,745.14x = 29,816,212.52
  5. Step 5: Solve for x
    x = 29,816,212.52/5,745.14
  6. Step 6: Final answer
    x = 5,189.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.