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Finding the Fourth Proportional to 5,911.54, 8,158 and 3,258.90

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Solution

The fourth proportional to 5,911.54, 8,158 and 3,258.90 is: 4,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.54 : 8,158 = 3,258.90 : x
  2. Step 2: Convert to fraction form
    5,911.54/8,158 = 3,258.90/x
  3. Step 3: Cross multiply
    5,911.54x = 8,158 × 3,258.90
  4. Step 4: Simplify right side
    5,911.54x = 26,586,106.20
  5. Step 5: Solve for x
    x = 26,586,106.20/5,911.54
  6. Step 6: Final answer
    x = 4,497.32

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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.