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Finding the Fourth Proportional to 3,857.99, 5,324.02 and 2,089.60

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Solution

The fourth proportional to 3,857.99, 5,324.02 and 2,089.60 is: 2,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.99 : 5,324.02 = 2,089.60 : x
  2. Step 2: Convert to fraction form
    3,857.99/5,324.02 = 2,089.60/x
  3. Step 3: Cross multiply
    3,857.99x = 5,324.02 × 2,089.60
  4. Step 4: Simplify right side
    3,857.99x = 11,125,045.57
  5. Step 5: Solve for x
    x = 11,125,045.57/3,857.99
  6. Step 6: Final answer
    x = 2,883.64

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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.