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Finding the Fourth Proportional to 5,729.14, 7,906.16 and 5,258.94

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Solution

The fourth proportional to 5,729.14, 7,906.16 and 5,258.94 is: 7,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.14 : 7,906.16 = 5,258.94 : x
  2. Step 2: Convert to fraction form
    5,729.14/7,906.16 = 5,258.94/x
  3. Step 3: Cross multiply
    5,729.14x = 7,906.16 × 5,258.94
  4. Step 4: Simplify right side
    5,729.14x = 41,578,021.07
  5. Step 5: Solve for x
    x = 41,578,021.07/5,729.14
  6. Step 6: Final answer
    x = 7,257.29

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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.