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Finding the Fourth Proportional to 5,640.25, 8,460.24 and 2,353.27

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Solution

The fourth proportional to 5,640.25, 8,460.24 and 2,353.27 is: 3,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.25 : 8,460.24 = 2,353.27 : x
  2. Step 2: Convert to fraction form
    5,640.25/8,460.24 = 2,353.27/x
  3. Step 3: Cross multiply
    5,640.25x = 8,460.24 × 2,353.27
  4. Step 4: Simplify right side
    5,640.25x = 19,909,228.98
  5. Step 5: Solve for x
    x = 19,909,228.98/5,640.25
  6. Step 6: Final answer
    x = 3,529.85

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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.