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Finding the Fourth Proportional to 5,126.94, 7,682.94 and 4,082.22

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Solution

The fourth proportional to 5,126.94, 7,682.94 and 4,082.22 is: 6,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.94 : 7,682.94 = 4,082.22 : x
  2. Step 2: Convert to fraction form
    5,126.94/7,682.94 = 4,082.22/x
  3. Step 3: Cross multiply
    5,126.94x = 7,682.94 × 4,082.22
  4. Step 4: Simplify right side
    5,126.94x = 31,363,451.33
  5. Step 5: Solve for x
    x = 31,363,451.33/5,126.94
  6. Step 6: Final answer
    x = 6,117.38

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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.