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Finding the Fourth Proportional to 5,640.96, 8,462.64 and 1,745.28

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Solution

The fourth proportional to 5,640.96, 8,462.64 and 1,745.28 is: 2,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.96 : 8,462.64 = 1,745.28 : x
  2. Step 2: Convert to fraction form
    5,640.96/8,462.64 = 1,745.28/x
  3. Step 3: Cross multiply
    5,640.96x = 8,462.64 × 1,745.28
  4. Step 4: Simplify right side
    5,640.96x = 14,769,676.34
  5. Step 5: Solve for x
    x = 14,769,676.34/5,640.96
  6. Step 6: Final answer
    x = 2,618.29

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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.