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Finding the Fourth Proportional to 5,896.14, 8,126.88 and 5,057.80

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Solution

The fourth proportional to 5,896.14, 8,126.88 and 5,057.80 is: 6,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.14 : 8,126.88 = 5,057.80 : x
  2. Step 2: Convert to fraction form
    5,896.14/8,126.88 = 5,057.80/x
  3. Step 3: Cross multiply
    5,896.14x = 8,126.88 × 5,057.80
  4. Step 4: Simplify right side
    5,896.14x = 41,104,133.66
  5. Step 5: Solve for x
    x = 41,104,133.66/5,896.14
  6. Step 6: Final answer
    x = 6,971.36

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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.