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Finding the Fourth Proportional to 5,474.16, 8,211.24 and 1,776.39

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Solution

The fourth proportional to 5,474.16, 8,211.24 and 1,776.39 is: 2,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.16 : 8,211.24 = 1,776.39 : x
  2. Step 2: Convert to fraction form
    5,474.16/8,211.24 = 1,776.39/x
  3. Step 3: Cross multiply
    5,474.16x = 8,211.24 × 1,776.39
  4. Step 4: Simplify right side
    5,474.16x = 14,586,380.71
  5. Step 5: Solve for x
    x = 14,586,380.71/5,474.16
  6. Step 6: Final answer
    x = 2,664.59

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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.