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Finding the Fourth Proportional to 5,296.78, 7,945.17 and 2,824.10

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Solution

The fourth proportional to 5,296.78, 7,945.17 and 2,824.10 is: 4,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.78 : 7,945.17 = 2,824.10 : x
  2. Step 2: Convert to fraction form
    5,296.78/7,945.17 = 2,824.10/x
  3. Step 3: Cross multiply
    5,296.78x = 7,945.17 × 2,824.10
  4. Step 4: Simplify right side
    5,296.78x = 22,437,954.60
  5. Step 5: Solve for x
    x = 22,437,954.60/5,296.78
  6. Step 6: Final answer
    x = 4,236.15

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Similar ratio
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1.5x scale

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.