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Finding the Fourth Proportional to 4,630.68, 6,961.08 and 3,716.26

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Solution

The fourth proportional to 4,630.68, 6,961.08 and 3,716.26 is: 5,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.68 : 6,961.08 = 3,716.26 : x
  2. Step 2: Convert to fraction form
    4,630.68/6,961.08 = 3,716.26/x
  3. Step 3: Cross multiply
    4,630.68x = 6,961.08 × 3,716.26
  4. Step 4: Simplify right side
    4,630.68x = 25,869,169.22
  5. Step 5: Solve for x
    x = 25,869,169.22/4,630.68
  6. Step 6: Final answer
    x = 5,586.47

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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.