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Finding the Fourth Proportional to 3,966.44, 5,472.81 and 2,394.50

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Solution

The fourth proportional to 3,966.44, 5,472.81 and 2,394.50 is: 3,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.44 : 5,472.81 = 2,394.50 : x
  2. Step 2: Convert to fraction form
    3,966.44/5,472.81 = 2,394.50/x
  3. Step 3: Cross multiply
    3,966.44x = 5,472.81 × 2,394.50
  4. Step 4: Simplify right side
    3,966.44x = 13,104,616.18
  5. Step 5: Solve for x
    x = 13,104,616.18/3,966.44
  6. Step 6: Final answer
    x = 3,303.88

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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.