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Finding the Fourth Proportional to 3,966.94, 5,475.47 and 2,473.96

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Solution

The fourth proportional to 3,966.94, 5,475.47 and 2,473.96 is: 3,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.94 : 5,475.47 = 2,473.96 : x
  2. Step 2: Convert to fraction form
    3,966.94/5,475.47 = 2,473.96/x
  3. Step 3: Cross multiply
    3,966.94x = 5,475.47 × 2,473.96
  4. Step 4: Simplify right side
    3,966.94x = 13,546,081.39
  5. Step 5: Solve for x
    x = 13,546,081.39/3,966.94
  6. Step 6: Final answer
    x = 3,414.74

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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.