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Finding the Fourth Proportional to 3,857.96, 5,323.96 and 2,089.56

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Solution

The fourth proportional to 3,857.96, 5,323.96 and 2,089.56 is: 2,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.96 : 5,323.96 = 2,089.56 : x
  2. Step 2: Convert to fraction form
    3,857.96/5,323.96 = 2,089.56/x
  3. Step 3: Cross multiply
    3,857.96x = 5,323.96 × 2,089.56
  4. Step 4: Simplify right side
    3,857.96x = 11,124,756.43
  5. Step 5: Solve for x
    x = 11,124,756.43/3,857.96
  6. Step 6: Final answer
    x = 2,883.58

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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.