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Finding the Fourth Proportional to 5,642.03, 8,453.46 and 3,990.50

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Solution

The fourth proportional to 5,642.03, 8,453.46 and 3,990.50 is: 5,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.03 : 8,453.46 = 3,990.50 : x
  2. Step 2: Convert to fraction form
    5,642.03/8,453.46 = 3,990.50/x
  3. Step 3: Cross multiply
    5,642.03x = 8,453.46 × 3,990.50
  4. Step 4: Simplify right side
    5,642.03x = 33,733,532.13
  5. Step 5: Solve for x
    x = 33,733,532.13/5,642.03
  6. Step 6: Final answer
    x = 5,978.97

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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.