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Finding the Fourth Proportional to 5,291.06, 7,930.92 and 2,516

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Solution

The fourth proportional to 5,291.06, 7,930.92 and 2,516 is: 3,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.06 : 7,930.92 = 2,516 : x
  2. Step 2: Convert to fraction form
    5,291.06/7,930.92 = 2,516/x
  3. Step 3: Cross multiply
    5,291.06x = 7,930.92 × 2,516
  4. Step 4: Simplify right side
    5,291.06x = 19,954,194.72
  5. Step 5: Solve for x
    x = 19,954,194.72/5,291.06
  6. Step 6: Final answer
    x = 3,771.30

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Why These Related Problems?

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