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Finding the Fourth Proportional to 5,517, 7,613.46 and 3,033

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Solution

The fourth proportional to 5,517, 7,613.46 and 3,033 is: 4,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517 : 7,613.46 = 3,033 : x
  2. Step 2: Convert to fraction form
    5,517/7,613.46 = 3,033/x
  3. Step 3: Cross multiply
    5,517x = 7,613.46 × 3,033
  4. Step 4: Simplify right side
    5,517x = 23,091,624.18
  5. Step 5: Solve for x
    x = 23,091,624.18/5,517
  6. Step 6: Final answer
    x = 4,185.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.