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Finding the Fourth Proportional to 5,375.42, 8,068.56 and 3,817.16

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Solution

The fourth proportional to 5,375.42, 8,068.56 and 3,817.16 is: 5,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.42 : 8,068.56 = 3,817.16 : x
  2. Step 2: Convert to fraction form
    5,375.42/8,068.56 = 3,817.16/x
  3. Step 3: Cross multiply
    5,375.42x = 8,068.56 × 3,817.16
  4. Step 4: Simplify right side
    5,375.42x = 30,798,984.49
  5. Step 5: Solve for x
    x = 30,798,984.49/5,375.42
  6. Step 6: Final answer
    x = 5,729.60

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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.