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Finding the Fourth Proportional to 3,456, 4,771.44 and 2,216.16

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Solution

The fourth proportional to 3,456, 4,771.44 and 2,216.16 is: 3,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 4,771.44 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    3,456/4,771.44 = 2,216.16/x
  3. Step 3: Cross multiply
    3,456x = 4,771.44 × 2,216.16
  4. Step 4: Simplify right side
    3,456x = 10,574,274.47
  5. Step 5: Solve for x
    x = 10,574,274.47/3,456
  6. Step 6: Final answer
    x = 3,059.69

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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.