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Finding the Fourth Proportional to 5,896.42, 8,844.66 and 2,194.31

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Solution

The fourth proportional to 5,896.42, 8,844.66 and 2,194.31 is: 3,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.42 : 8,844.66 = 2,194.31 : x
  2. Step 2: Convert to fraction form
    5,896.42/8,844.66 = 2,194.31/x
  3. Step 3: Cross multiply
    5,896.42x = 8,844.66 × 2,194.31
  4. Step 4: Simplify right side
    5,896.42x = 19,407,948.00
  5. Step 5: Solve for x
    x = 19,407,948.00/5,896.42
  6. Step 6: Final answer
    x = 3,291.48

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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.