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Finding the Fourth Proportional to 5,517, 7,613.94 and 3,033.48

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Solution

The fourth proportional to 5,517, 7,613.94 and 3,033.48 is: 4,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517 : 7,613.94 = 3,033.48 : x
  2. Step 2: Convert to fraction form
    5,517/7,613.94 = 3,033.48/x
  3. Step 3: Cross multiply
    5,517x = 7,613.94 × 3,033.48
  4. Step 4: Simplify right side
    5,517x = 23,096,734.71
  5. Step 5: Solve for x
    x = 23,096,734.71/5,517
  6. Step 6: Final answer
    x = 4,186.47

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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.