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Finding the Fourth Proportional to 5,157.54, 7,744.77 and 4,894.61

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Solution

The fourth proportional to 5,157.54, 7,744.77 and 4,894.61 is: 7,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.54 : 7,744.77 = 4,894.61 : x
  2. Step 2: Convert to fraction form
    5,157.54/7,744.77 = 4,894.61/x
  3. Step 3: Cross multiply
    5,157.54x = 7,744.77 × 4,894.61
  4. Step 4: Simplify right side
    5,157.54x = 37,907,589.97
  5. Step 5: Solve for x
    x = 37,907,589.97/5,157.54
  6. Step 6: Final answer
    x = 7,349.94

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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.