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Finding the Fourth Proportional to 5,896.49, 8,135.74 and 3,985.87

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Solution

The fourth proportional to 5,896.49, 8,135.74 and 3,985.87 is: 5,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.49 : 8,135.74 = 3,985.87 : x
  2. Step 2: Convert to fraction form
    5,896.49/8,135.74 = 3,985.87/x
  3. Step 3: Cross multiply
    5,896.49x = 8,135.74 × 3,985.87
  4. Step 4: Simplify right side
    5,896.49x = 32,427,986.64
  5. Step 5: Solve for x
    x = 32,427,986.64/5,896.49
  6. Step 6: Final answer
    x = 5,499.55

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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.