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Finding the Fourth Proportional to 3,994.14, 5,984.28 and 2,146.08

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Solution

The fourth proportional to 3,994.14, 5,984.28 and 2,146.08 is: 3,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.14 : 5,984.28 = 2,146.08 : x
  2. Step 2: Convert to fraction form
    3,994.14/5,984.28 = 2,146.08/x
  3. Step 3: Cross multiply
    3,994.14x = 5,984.28 × 2,146.08
  4. Step 4: Simplify right side
    3,994.14x = 12,842,743.62
  5. Step 5: Solve for x
    x = 12,842,743.62/3,994.14
  6. Step 6: Final answer
    x = 3,215.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.