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Finding the Fourth Proportional to 6,074.24, 8,381.86 and 4,481.75

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Solution

The fourth proportional to 6,074.24, 8,381.86 and 4,481.75 is: 6,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.24 : 8,381.86 = 4,481.75 : x
  2. Step 2: Convert to fraction form
    6,074.24/8,381.86 = 4,481.75/x
  3. Step 3: Cross multiply
    6,074.24x = 8,381.86 × 4,481.75
  4. Step 4: Simplify right side
    6,074.24x = 37,565,401.06
  5. Step 5: Solve for x
    x = 37,565,401.06/6,074.24
  6. Step 6: Final answer
    x = 6,184.38

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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.