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Finding the Fourth Proportional to 5,912.58, 8,158.91 and 3,260

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Solution

The fourth proportional to 5,912.58, 8,158.91 and 3,260 is: 4,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.58 : 8,158.91 = 3,260 : x
  2. Step 2: Convert to fraction form
    5,912.58/8,158.91 = 3,260/x
  3. Step 3: Cross multiply
    5,912.58x = 8,158.91 × 3,260
  4. Step 4: Simplify right side
    5,912.58x = 26,598,046.60
  5. Step 5: Solve for x
    x = 26,598,046.60/5,912.58
  6. Step 6: Final answer
    x = 4,498.55

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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.