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Finding the Fourth Proportional to 5,745.60, 8,615.84 and 1,640.64

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Solution

The fourth proportional to 5,745.60, 8,615.84 and 1,640.64 is: 2,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.60 : 8,615.84 = 1,640.64 : x
  2. Step 2: Convert to fraction form
    5,745.60/8,615.84 = 1,640.64/x
  3. Step 3: Cross multiply
    5,745.60x = 8,615.84 × 1,640.64
  4. Step 4: Simplify right side
    5,745.60x = 14,135,491.74
  5. Step 5: Solve for x
    x = 14,135,491.74/5,745.60
  6. Step 6: Final answer
    x = 2,460.23

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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.