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Finding the Fourth Proportional to 3,873.99, 5,344.47 and 2,301.78

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Solution

The fourth proportional to 3,873.99, 5,344.47 and 2,301.78 is: 3,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.99 : 5,344.47 = 2,301.78 : x
  2. Step 2: Convert to fraction form
    3,873.99/5,344.47 = 2,301.78/x
  3. Step 3: Cross multiply
    3,873.99x = 5,344.47 × 2,301.78
  4. Step 4: Simplify right side
    3,873.99x = 12,301,794.16
  5. Step 5: Solve for x
    x = 12,301,794.16/3,873.99
  6. Step 6: Final answer
    x = 3,175.48

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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.