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Finding the Fourth Proportional to 3,853.96, 5,320.92 and 2,968.12

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Solution

The fourth proportional to 3,853.96, 5,320.92 and 2,968.12 is: 4,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.96 : 5,320.92 = 2,968.12 : x
  2. Step 2: Convert to fraction form
    3,853.96/5,320.92 = 2,968.12/x
  3. Step 3: Cross multiply
    3,853.96x = 5,320.92 × 2,968.12
  4. Step 4: Simplify right side
    3,853.96x = 15,793,129.07
  5. Step 5: Solve for x
    x = 15,793,129.07/3,853.96
  6. Step 6: Final answer
    x = 4,097.90

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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.