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Finding the Fourth Proportional to 5,753.46, 8,629.22 and 1,857.87

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Solution

The fourth proportional to 5,753.46, 8,629.22 and 1,857.87 is: 2,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.46 : 8,629.22 = 1,857.87 : x
  2. Step 2: Convert to fraction form
    5,753.46/8,629.22 = 1,857.87/x
  3. Step 3: Cross multiply
    5,753.46x = 8,629.22 × 1,857.87
  4. Step 4: Simplify right side
    5,753.46x = 16,031,963.16
  5. Step 5: Solve for x
    x = 16,031,963.16/5,753.46
  6. Step 6: Final answer
    x = 2,786.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.