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Finding the Fourth Proportional to 6,226.38, 8,589.83 and 3,987.77

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Solution

The fourth proportional to 6,226.38, 8,589.83 and 3,987.77 is: 5,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.38 : 8,589.83 = 3,987.77 : x
  2. Step 2: Convert to fraction form
    6,226.38/8,589.83 = 3,987.77/x
  3. Step 3: Cross multiply
    6,226.38x = 8,589.83 × 3,987.77
  4. Step 4: Simplify right side
    6,226.38x = 34,254,203.49
  5. Step 5: Solve for x
    x = 34,254,203.49/6,226.38
  6. Step 6: Final answer
    x = 5,501.46

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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.