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Finding the Fourth Proportional to 5,855.76, 8,083.16 and 3,977.08

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Solution

The fourth proportional to 5,855.76, 8,083.16 and 3,977.08 is: 5,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.76 : 8,083.16 = 3,977.08 : x
  2. Step 2: Convert to fraction form
    5,855.76/8,083.16 = 3,977.08/x
  3. Step 3: Cross multiply
    5,855.76x = 8,083.16 × 3,977.08
  4. Step 4: Simplify right side
    5,855.76x = 32,147,373.97
  5. Step 5: Solve for x
    x = 32,147,373.97/5,855.76
  6. Step 6: Final answer
    x = 5,489.87

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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.