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Finding the Fourth Proportional to 5,086.44, 7,642.62 and 4,749.48

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Solution

The fourth proportional to 5,086.44, 7,642.62 and 4,749.48 is: 7,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.44 : 7,642.62 = 4,749.48 : x
  2. Step 2: Convert to fraction form
    5,086.44/7,642.62 = 4,749.48/x
  3. Step 3: Cross multiply
    5,086.44x = 7,642.62 × 4,749.48
  4. Step 4: Simplify right side
    5,086.44x = 36,298,470.84
  5. Step 5: Solve for x
    x = 36,298,470.84/5,086.44
  6. Step 6: Final answer
    x = 7,136.32

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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.