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Finding the Fourth Proportional to 4,082.34, 5,633.52 and 2,685

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Solution

The fourth proportional to 4,082.34, 5,633.52 and 2,685 is: 3,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.34 : 5,633.52 = 2,685 : x
  2. Step 2: Convert to fraction form
    4,082.34/5,633.52 = 2,685/x
  3. Step 3: Cross multiply
    4,082.34x = 5,633.52 × 2,685
  4. Step 4: Simplify right side
    4,082.34x = 15,126,001.20
  5. Step 5: Solve for x
    x = 15,126,001.20/4,082.34
  6. Step 6: Final answer
    x = 3,705.23

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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.