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Finding the Fourth Proportional to 5,824.52, 8,735.34 and 3,632.12

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Solution

The fourth proportional to 5,824.52, 8,735.34 and 3,632.12 is: 5,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.52 : 8,735.34 = 3,632.12 : x
  2. Step 2: Convert to fraction form
    5,824.52/8,735.34 = 3,632.12/x
  3. Step 3: Cross multiply
    5,824.52x = 8,735.34 × 3,632.12
  4. Step 4: Simplify right side
    5,824.52x = 31,727,803.12
  5. Step 5: Solve for x
    x = 31,727,803.12/5,824.52
  6. Step 6: Final answer
    x = 5,447.28

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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.