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Finding the Fourth Proportional to 4,613.67, 6,914.02 and 3,460.23

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Solution

The fourth proportional to 4,613.67, 6,914.02 and 3,460.23 is: 5,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.67 : 6,914.02 = 3,460.23 : x
  2. Step 2: Convert to fraction form
    4,613.67/6,914.02 = 3,460.23/x
  3. Step 3: Cross multiply
    4,613.67x = 6,914.02 × 3,460.23
  4. Step 4: Simplify right side
    4,613.67x = 23,924,099.42
  5. Step 5: Solve for x
    x = 23,924,099.42/4,613.67
  6. Step 6: Final answer
    x = 5,185.48

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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.