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Finding the Fourth Proportional to 5,176.69, 7,144.64 and 3,082.03

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Solution

The fourth proportional to 5,176.69, 7,144.64 and 3,082.03 is: 4,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.69 : 7,144.64 = 3,082.03 : x
  2. Step 2: Convert to fraction form
    5,176.69/7,144.64 = 3,082.03/x
  3. Step 3: Cross multiply
    5,176.69x = 7,144.64 × 3,082.03
  4. Step 4: Simplify right side
    5,176.69x = 22,019,973.11
  5. Step 5: Solve for x
    x = 22,019,973.11/5,176.69
  6. Step 6: Final answer
    x = 4,253.68

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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.