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Finding the Fourth Proportional to 5,474.63, 8,211.81 and 1,525.87

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Solution

The fourth proportional to 5,474.63, 8,211.81 and 1,525.87 is: 2,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.63 : 8,211.81 = 1,525.87 : x
  2. Step 2: Convert to fraction form
    5,474.63/8,211.81 = 1,525.87/x
  3. Step 3: Cross multiply
    5,474.63x = 8,211.81 × 1,525.87
  4. Step 4: Simplify right side
    5,474.63x = 12,530,146.90
  5. Step 5: Solve for x
    x = 12,530,146.90/5,474.63
  6. Step 6: Final answer
    x = 2,288.77

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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.