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Finding the Fourth Proportional to 3,966.64, 5,473.22 and 2,394.88

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Solution

The fourth proportional to 3,966.64, 5,473.22 and 2,394.88 is: 3,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.64 : 5,473.22 = 2,394.88 : x
  2. Step 2: Convert to fraction form
    3,966.64/5,473.22 = 2,394.88/x
  3. Step 3: Cross multiply
    3,966.64x = 5,473.22 × 2,394.88
  4. Step 4: Simplify right side
    3,966.64x = 13,107,705.11
  5. Step 5: Solve for x
    x = 13,107,705.11/3,966.64
  6. Step 6: Final answer
    x = 3,304.49

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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.