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Finding the Fourth Proportional to 5,119.73, 7,674.97 and 1,832.07

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Solution

The fourth proportional to 5,119.73, 7,674.97 and 1,832.07 is: 2,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.73 : 7,674.97 = 1,832.07 : x
  2. Step 2: Convert to fraction form
    5,119.73/7,674.97 = 1,832.07/x
  3. Step 3: Cross multiply
    5,119.73x = 7,674.97 × 1,832.07
  4. Step 4: Simplify right side
    5,119.73x = 14,061,082.29
  5. Step 5: Solve for x
    x = 14,061,082.29/5,119.73
  6. Step 6: Final answer
    x = 2,746.45

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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.