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Finding the Fourth Proportional to 4,004.34, 6,006.74 and 1,082.88

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Solution

The fourth proportional to 4,004.34, 6,006.74 and 1,082.88 is: 1,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.34 : 6,006.74 = 1,082.88 : x
  2. Step 2: Convert to fraction form
    4,004.34/6,006.74 = 1,082.88/x
  3. Step 3: Cross multiply
    4,004.34x = 6,006.74 × 1,082.88
  4. Step 4: Simplify right side
    4,004.34x = 6,504,578.61
  5. Step 5: Solve for x
    x = 6,504,578.61/4,004.34
  6. Step 6: Final answer
    x = 1,624.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.