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Finding the Fourth Proportional to 5,082.52, 7,013.82 and 2,958.16

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Solution

The fourth proportional to 5,082.52, 7,013.82 and 2,958.16 is: 4,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.52 : 7,013.82 = 2,958.16 : x
  2. Step 2: Convert to fraction form
    5,082.52/7,013.82 = 2,958.16/x
  3. Step 3: Cross multiply
    5,082.52x = 7,013.82 × 2,958.16
  4. Step 4: Simplify right side
    5,082.52x = 20,748,001.77
  5. Step 5: Solve for x
    x = 20,748,001.77/5,082.52
  6. Step 6: Final answer
    x = 4,082.23

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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.