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Finding the Fourth Proportional to 4,634.65, 6,962.91 and 3,814.53

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Solution

The fourth proportional to 4,634.65, 6,962.91 and 3,814.53 is: 5,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.65 : 6,962.91 = 3,814.53 : x
  2. Step 2: Convert to fraction form
    4,634.65/6,962.91 = 3,814.53/x
  3. Step 3: Cross multiply
    4,634.65x = 6,962.91 × 3,814.53
  4. Step 4: Simplify right side
    4,634.65x = 26,560,229.08
  5. Step 5: Solve for x
    x = 26,560,229.08/4,634.65
  6. Step 6: Final answer
    x = 5,730.80

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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.