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Finding the Fourth Proportional to 5,896.40, 8,135.56 and 3,798

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Solution

The fourth proportional to 5,896.40, 8,135.56 and 3,798 is: 5,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.40 : 8,135.56 = 3,798 : x
  2. Step 2: Convert to fraction form
    5,896.40/8,135.56 = 3,798/x
  3. Step 3: Cross multiply
    5,896.40x = 8,135.56 × 3,798
  4. Step 4: Simplify right side
    5,896.40x = 30,898,856.88
  5. Step 5: Solve for x
    x = 30,898,856.88/5,896.40
  6. Step 6: Final answer
    x = 5,240.29

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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.