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Finding the Fourth Proportional to 4,202.70, 5,804.82 and 3,082.02

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Solution

The fourth proportional to 4,202.70, 5,804.82 and 3,082.02 is: 4,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.70 : 5,804.82 = 3,082.02 : x
  2. Step 2: Convert to fraction form
    4,202.70/5,804.82 = 3,082.02/x
  3. Step 3: Cross multiply
    4,202.70x = 5,804.82 × 3,082.02
  4. Step 4: Simplify right side
    4,202.70x = 17,890,571.34
  5. Step 5: Solve for x
    x = 17,890,571.34/4,202.70
  6. Step 6: Final answer
    x = 4,256.92

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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.