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Finding the Fourth Proportional to 5,258.25, 7,889.13 and 4,853.79

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Solution

The fourth proportional to 5,258.25, 7,889.13 and 4,853.79 is: 7,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.25 : 7,889.13 = 4,853.79 : x
  2. Step 2: Convert to fraction form
    5,258.25/7,889.13 = 4,853.79/x
  3. Step 3: Cross multiply
    5,258.25x = 7,889.13 × 4,853.79
  4. Step 4: Simplify right side
    5,258.25x = 38,292,180.30
  5. Step 5: Solve for x
    x = 38,292,180.30/5,258.25
  6. Step 6: Final answer
    x = 7,282.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.