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Finding the Fourth Proportional to 5,912.76, 8,159.36 and 3,260

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Solution

The fourth proportional to 5,912.76, 8,159.36 and 3,260 is: 4,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.76 : 8,159.36 = 3,260 : x
  2. Step 2: Convert to fraction form
    5,912.76/8,159.36 = 3,260/x
  3. Step 3: Cross multiply
    5,912.76x = 8,159.36 × 3,260
  4. Step 4: Simplify right side
    5,912.76x = 26,599,513.60
  5. Step 5: Solve for x
    x = 26,599,513.60/5,912.76
  6. Step 6: Final answer
    x = 4,498.66

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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.