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Finding the Fourth Proportional to 5,636.52, 8,459.64 and 3,906.36

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Solution

The fourth proportional to 5,636.52, 8,459.64 and 3,906.36 is: 5,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.52 : 8,459.64 = 3,906.36 : x
  2. Step 2: Convert to fraction form
    5,636.52/8,459.64 = 3,906.36/x
  3. Step 3: Cross multiply
    5,636.52x = 8,459.64 × 3,906.36
  4. Step 4: Simplify right side
    5,636.52x = 33,046,399.31
  5. Step 5: Solve for x
    x = 33,046,399.31/5,636.52
  6. Step 6: Final answer
    x = 5,862.91

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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.