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Finding the Fourth Proportional to 6,473.88, 8,933.94 and 3,679.38

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Solution

The fourth proportional to 6,473.88, 8,933.94 and 3,679.38 is: 5,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.88 : 8,933.94 = 3,679.38 : x
  2. Step 2: Convert to fraction form
    6,473.88/8,933.94 = 3,679.38/x
  3. Step 3: Cross multiply
    6,473.88x = 8,933.94 × 3,679.38
  4. Step 4: Simplify right side
    6,473.88x = 32,871,360.16
  5. Step 5: Solve for x
    x = 32,871,360.16/6,473.88
  6. Step 6: Final answer
    x = 5,077.54

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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.