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Finding the Fourth Proportional to 5,760.83, 7,951.09 and 3,741.43

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Solution

The fourth proportional to 5,760.83, 7,951.09 and 3,741.43 is: 5,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.83 : 7,951.09 = 3,741.43 : x
  2. Step 2: Convert to fraction form
    5,760.83/7,951.09 = 3,741.43/x
  3. Step 3: Cross multiply
    5,760.83x = 7,951.09 × 3,741.43
  4. Step 4: Simplify right side
    5,760.83x = 29,748,431.46
  5. Step 5: Solve for x
    x = 29,748,431.46/5,760.83
  6. Step 6: Final answer
    x = 5,163.91

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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.