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Finding the Fourth Proportional to 5,741.41, 7,921.10 and 3,753.12

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Solution

The fourth proportional to 5,741.41, 7,921.10 and 3,753.12 is: 5,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.41 : 7,921.10 = 3,753.12 : x
  2. Step 2: Convert to fraction form
    5,741.41/7,921.10 = 3,753.12/x
  3. Step 3: Cross multiply
    5,741.41x = 7,921.10 × 3,753.12
  4. Step 4: Simplify right side
    5,741.41x = 29,728,838.83
  5. Step 5: Solve for x
    x = 29,728,838.83/5,741.41
  6. Step 6: Final answer
    x = 5,177.97

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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.