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Finding the Fourth Proportional to 5,060.80, 7,589.94 and 1,774

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Solution

The fourth proportional to 5,060.80, 7,589.94 and 1,774 is: 2,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060.80 : 7,589.94 = 1,774 : x
  2. Step 2: Convert to fraction form
    5,060.80/7,589.94 = 1,774/x
  3. Step 3: Cross multiply
    5,060.80x = 7,589.94 × 1,774
  4. Step 4: Simplify right side
    5,060.80x = 13,464,553.56
  5. Step 5: Solve for x
    x = 13,464,553.56/5,060.80
  6. Step 6: Final answer
    x = 2,660.56

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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.