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Finding the Fourth Proportional to 5,922.32, 8,170.08 and 3,827.12

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Solution

The fourth proportional to 5,922.32, 8,170.08 and 3,827.12 is: 5,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.32 : 8,170.08 = 3,827.12 : x
  2. Step 2: Convert to fraction form
    5,922.32/8,170.08 = 3,827.12/x
  3. Step 3: Cross multiply
    5,922.32x = 8,170.08 × 3,827.12
  4. Step 4: Simplify right side
    5,922.32x = 31,267,876.57
  5. Step 5: Solve for x
    x = 31,267,876.57/5,922.32
  6. Step 6: Final answer
    x = 5,279.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.