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Finding the Fourth Proportional to 5,260.71, 7,258.77 and 3,164.97

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Solution

The fourth proportional to 5,260.71, 7,258.77 and 3,164.97 is: 4,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.71 : 7,258.77 = 3,164.97 : x
  2. Step 2: Convert to fraction form
    5,260.71/7,258.77 = 3,164.97/x
  3. Step 3: Cross multiply
    5,260.71x = 7,258.77 × 3,164.97
  4. Step 4: Simplify right side
    5,260.71x = 22,973,789.29
  5. Step 5: Solve for x
    x = 22,973,789.29/5,260.71
  6. Step 6: Final answer
    x = 4,367.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.