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Finding the Fourth Proportional to 5,105.88, 7,659.32 and 1,986.14

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Solution

The fourth proportional to 5,105.88, 7,659.32 and 1,986.14 is: 2,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.88 : 7,659.32 = 1,986.14 : x
  2. Step 2: Convert to fraction form
    5,105.88/7,659.32 = 1,986.14/x
  3. Step 3: Cross multiply
    5,105.88x = 7,659.32 × 1,986.14
  4. Step 4: Simplify right side
    5,105.88x = 15,212,433.60
  5. Step 5: Solve for x
    x = 15,212,433.60/5,105.88
  6. Step 6: Final answer
    x = 2,979.40

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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.