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Finding the Fourth Proportional to 5,182.49, 7,767.23 and 4,082.51

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Solution

The fourth proportional to 5,182.49, 7,767.23 and 4,082.51 is: 6,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.49 : 7,767.23 = 4,082.51 : x
  2. Step 2: Convert to fraction form
    5,182.49/7,767.23 = 4,082.51/x
  3. Step 3: Cross multiply
    5,182.49x = 7,767.23 × 4,082.51
  4. Step 4: Simplify right side
    5,182.49x = 31,709,734.90
  5. Step 5: Solve for x
    x = 31,709,734.90/5,182.49
  6. Step 6: Final answer
    x = 6,118.64

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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.