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Finding the Fourth Proportional to 3,466.46, 5,191.56 and 3,008

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Solution

The fourth proportional to 3,466.46, 5,191.56 and 3,008 is: 4,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.46 : 5,191.56 = 3,008 : x
  2. Step 2: Convert to fraction form
    3,466.46/5,191.56 = 3,008/x
  3. Step 3: Cross multiply
    3,466.46x = 5,191.56 × 3,008
  4. Step 4: Simplify right side
    3,466.46x = 15,616,212.48
  5. Step 5: Solve for x
    x = 15,616,212.48/3,466.46
  6. Step 6: Final answer
    x = 4,504.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.