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Finding the Fourth Proportional to 5,375.22, 8,065.71 and 2,296.50

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Solution

The fourth proportional to 5,375.22, 8,065.71 and 2,296.50 is: 3,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.22 : 8,065.71 = 2,296.50 : x
  2. Step 2: Convert to fraction form
    5,375.22/8,065.71 = 2,296.50/x
  3. Step 3: Cross multiply
    5,375.22x = 8,065.71 × 2,296.50
  4. Step 4: Simplify right side
    5,375.22x = 18,522,903.02
  5. Step 5: Solve for x
    x = 18,522,903.02/5,375.22
  6. Step 6: Final answer
    x = 3,445.98

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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.