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Finding the Fourth Proportional to 5,192.05, 7,788.05 and 1,296.46

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Solution

The fourth proportional to 5,192.05, 7,788.05 and 1,296.46 is: 1,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.05 : 7,788.05 = 1,296.46 : x
  2. Step 2: Convert to fraction form
    5,192.05/7,788.05 = 1,296.46/x
  3. Step 3: Cross multiply
    5,192.05x = 7,788.05 × 1,296.46
  4. Step 4: Simplify right side
    5,192.05x = 10,096,859.61
  5. Step 5: Solve for x
    x = 10,096,859.61/5,192.05
  6. Step 6: Final answer
    x = 1,944.68

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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.