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Finding the Fourth Proportional to 3,966.82, 5,473.95 and 2,288.30

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Solution

The fourth proportional to 3,966.82, 5,473.95 and 2,288.30 is: 3,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.82 : 5,473.95 = 2,288.30 : x
  2. Step 2: Convert to fraction form
    3,966.82/5,473.95 = 2,288.30/x
  3. Step 3: Cross multiply
    3,966.82x = 5,473.95 × 2,288.30
  4. Step 4: Simplify right side
    3,966.82x = 12,526,053.93
  5. Step 5: Solve for x
    x = 12,526,053.93/3,966.82
  6. Step 6: Final answer
    x = 3,157.70

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1.5x scale

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.