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Finding the Fourth Proportional to 5,296.53, 7,944.74 and 1,293.95

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Solution

The fourth proportional to 5,296.53, 7,944.74 and 1,293.95 is: 1,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.53 : 7,944.74 = 1,293.95 : x
  2. Step 2: Convert to fraction form
    5,296.53/7,944.74 = 1,293.95/x
  3. Step 3: Cross multiply
    5,296.53x = 7,944.74 × 1,293.95
  4. Step 4: Simplify right side
    5,296.53x = 10,280,138.60
  5. Step 5: Solve for x
    x = 10,280,138.60/5,296.53
  6. Step 6: Final answer
    x = 1,940.92

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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.