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Finding the Fourth Proportional to 6,084.82, 8,397.06 and 3,566.42

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Solution

The fourth proportional to 6,084.82, 8,397.06 and 3,566.42 is: 4,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.82 : 8,397.06 = 3,566.42 : x
  2. Step 2: Convert to fraction form
    6,084.82/8,397.06 = 3,566.42/x
  3. Step 3: Cross multiply
    6,084.82x = 8,397.06 × 3,566.42
  4. Step 4: Simplify right side
    6,084.82x = 29,947,463.72
  5. Step 5: Solve for x
    x = 29,947,463.72/6,084.82
  6. Step 6: Final answer
    x = 4,921.67

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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.