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Finding the Fourth Proportional to 3,463.37, 5,194.98 and 866.31

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Solution

The fourth proportional to 3,463.37, 5,194.98 and 866.31 is: 1,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.37 : 5,194.98 = 866.31 : x
  2. Step 2: Convert to fraction form
    3,463.37/5,194.98 = 866.31/x
  3. Step 3: Cross multiply
    3,463.37x = 5,194.98 × 866.31
  4. Step 4: Simplify right side
    3,463.37x = 4,500,463.12
  5. Step 5: Solve for x
    x = 4,500,463.12/3,463.37
  6. Step 6: Final answer
    x = 1,299.45

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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.