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Finding the Fourth Proportional to 3,857.44, 5,323.17 and 2,285.50

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Solution

The fourth proportional to 3,857.44, 5,323.17 and 2,285.50 is: 3,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.44 : 5,323.17 = 2,285.50 : x
  2. Step 2: Convert to fraction form
    3,857.44/5,323.17 = 2,285.50/x
  3. Step 3: Cross multiply
    3,857.44x = 5,323.17 × 2,285.50
  4. Step 4: Simplify right side
    3,857.44x = 12,166,105.04
  5. Step 5: Solve for x
    x = 12,166,105.04/3,857.44
  6. Step 6: Final answer
    x = 3,153.93

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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.