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Finding the Fourth Proportional to 5,682.79, 7,844.67 and 3,820.87

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Solution

The fourth proportional to 5,682.79, 7,844.67 and 3,820.87 is: 5,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.79 : 7,844.67 = 3,820.87 : x
  2. Step 2: Convert to fraction form
    5,682.79/7,844.67 = 3,820.87/x
  3. Step 3: Cross multiply
    5,682.79x = 7,844.67 × 3,820.87
  4. Step 4: Simplify right side
    5,682.79x = 29,973,425.04
  5. Step 5: Solve for x
    x = 29,973,425.04/5,682.79
  6. Step 6: Final answer
    x = 5,274.43

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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.