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Finding the Fourth Proportional to 4,151.61, 5,730.21 and 3,731.22

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Solution

The fourth proportional to 4,151.61, 5,730.21 and 3,731.22 is: 5,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.61 : 5,730.21 = 3,731.22 : x
  2. Step 2: Convert to fraction form
    4,151.61/5,730.21 = 3,731.22/x
  3. Step 3: Cross multiply
    4,151.61x = 5,730.21 × 3,731.22
  4. Step 4: Simplify right side
    4,151.61x = 21,380,674.16
  5. Step 5: Solve for x
    x = 21,380,674.16/4,151.61
  6. Step 6: Final answer
    x = 5,149.97

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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.