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Finding the Fourth Proportional to 4,156.12, 5,735.22 and 2,293

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Solution

The fourth proportional to 4,156.12, 5,735.22 and 2,293 is: 3,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.12 : 5,735.22 = 2,293 : x
  2. Step 2: Convert to fraction form
    4,156.12/5,735.22 = 2,293/x
  3. Step 3: Cross multiply
    4,156.12x = 5,735.22 × 2,293
  4. Step 4: Simplify right side
    4,156.12x = 13,150,859.46
  5. Step 5: Solve for x
    x = 13,150,859.46/4,156.12
  6. Step 6: Final answer
    x = 3,164.22

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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.