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Finding the Fourth Proportional to 4,427.20, 6,090.64 and 4,304.17

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Solution

The fourth proportional to 4,427.20, 6,090.64 and 4,304.17 is: 5,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.20 : 6,090.64 = 4,304.17 : x
  2. Step 2: Convert to fraction form
    4,427.20/6,090.64 = 4,304.17/x
  3. Step 3: Cross multiply
    4,427.20x = 6,090.64 × 4,304.17
  4. Step 4: Simplify right side
    4,427.20x = 26,215,149.97
  5. Step 5: Solve for x
    x = 26,215,149.97/4,427.20
  6. Step 6: Final answer
    x = 5,921.38

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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.