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Finding the Fourth Proportional to 5,735.64, 8,602.44 and 2,614.92

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Solution

The fourth proportional to 5,735.64, 8,602.44 and 2,614.92 is: 3,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.64 : 8,602.44 = 2,614.92 : x
  2. Step 2: Convert to fraction form
    5,735.64/8,602.44 = 2,614.92/x
  3. Step 3: Cross multiply
    5,735.64x = 8,602.44 × 2,614.92
  4. Step 4: Simplify right side
    5,735.64x = 22,494,692.40
  5. Step 5: Solve for x
    x = 22,494,692.40/5,735.64
  6. Step 6: Final answer
    x = 3,921.91

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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.