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Finding the Fourth Proportional to 5,776.75, 7,971.94 and 3,258.97

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Solution

The fourth proportional to 5,776.75, 7,971.94 and 3,258.97 is: 4,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.75 : 7,971.94 = 3,258.97 : x
  2. Step 2: Convert to fraction form
    5,776.75/7,971.94 = 3,258.97/x
  3. Step 3: Cross multiply
    5,776.75x = 7,971.94 × 3,258.97
  4. Step 4: Simplify right side
    5,776.75x = 25,980,306.61
  5. Step 5: Solve for x
    x = 25,980,306.61/5,776.75
  6. Step 6: Final answer
    x = 4,497.39

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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.