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Finding the Fourth Proportional to 5,772.48, 8,652 and 3,693.60

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Solution

The fourth proportional to 5,772.48, 8,652 and 3,693.60 is: 5,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.48 : 8,652 = 3,693.60 : x
  2. Step 2: Convert to fraction form
    5,772.48/8,652 = 3,693.60/x
  3. Step 3: Cross multiply
    5,772.48x = 8,652 × 3,693.60
  4. Step 4: Simplify right side
    5,772.48x = 31,957,027.20
  5. Step 5: Solve for x
    x = 31,957,027.20/5,772.48
  6. Step 6: Final answer
    x = 5,536.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.