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Finding the Fourth Proportional to 3,881.91, 5,820.74 and 3,057.74

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Solution

The fourth proportional to 3,881.91, 5,820.74 and 3,057.74 is: 4,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.91 : 5,820.74 = 3,057.74 : x
  2. Step 2: Convert to fraction form
    3,881.91/5,820.74 = 3,057.74/x
  3. Step 3: Cross multiply
    3,881.91x = 5,820.74 × 3,057.74
  4. Step 4: Simplify right side
    3,881.91x = 17,798,309.53
  5. Step 5: Solve for x
    x = 17,798,309.53/3,881.91
  6. Step 6: Final answer
    x = 4,584.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.