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Finding the Fourth Proportional to 6,298.83, 8,692.38 and 3,645.81

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Solution

The fourth proportional to 6,298.83, 8,692.38 and 3,645.81 is: 5,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.83 : 8,692.38 = 3,645.81 : x
  2. Step 2: Convert to fraction form
    6,298.83/8,692.38 = 3,645.81/x
  3. Step 3: Cross multiply
    6,298.83x = 8,692.38 × 3,645.81
  4. Step 4: Simplify right side
    6,298.83x = 31,690,765.93
  5. Step 5: Solve for x
    x = 31,690,765.93/6,298.83
  6. Step 6: Final answer
    x = 5,031.21

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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.