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Finding the Fourth Proportional to 5,744.56, 7,927.30 and 3,510.18

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Solution

The fourth proportional to 5,744.56, 7,927.30 and 3,510.18 is: 4,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.56 : 7,927.30 = 3,510.18 : x
  2. Step 2: Convert to fraction form
    5,744.56/7,927.30 = 3,510.18/x
  3. Step 3: Cross multiply
    5,744.56x = 7,927.30 × 3,510.18
  4. Step 4: Simplify right side
    5,744.56x = 27,826,249.91
  5. Step 5: Solve for x
    x = 27,826,249.91/5,744.56
  6. Step 6: Final answer
    x = 4,843.93

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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.