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Finding the Fourth Proportional to 5,474.57, 8,209.80 and 1,775.84

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Solution

The fourth proportional to 5,474.57, 8,209.80 and 1,775.84 is: 2,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.57 : 8,209.80 = 1,775.84 : x
  2. Step 2: Convert to fraction form
    5,474.57/8,209.80 = 1,775.84/x
  3. Step 3: Cross multiply
    5,474.57x = 8,209.80 × 1,775.84
  4. Step 4: Simplify right side
    5,474.57x = 14,579,250.18
  5. Step 5: Solve for x
    x = 14,579,250.18/5,474.57
  6. Step 6: Final answer
    x = 2,663.09

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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.