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Finding the Fourth Proportional to 5,061.96, 6,983.22 and 2,965.20

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Solution

The fourth proportional to 5,061.96, 6,983.22 and 2,965.20 is: 4,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.96 : 6,983.22 = 2,965.20 : x
  2. Step 2: Convert to fraction form
    5,061.96/6,983.22 = 2,965.20/x
  3. Step 3: Cross multiply
    5,061.96x = 6,983.22 × 2,965.20
  4. Step 4: Simplify right side
    5,061.96x = 20,706,643.94
  5. Step 5: Solve for x
    x = 20,706,643.94/5,061.96
  6. Step 6: Final answer
    x = 4,090.64

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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.