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Finding the Fourth Proportional to 5,195.68, 7,793.54 and 1,497.92

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Solution

The fourth proportional to 5,195.68, 7,793.54 and 1,497.92 is: 2,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.68 : 7,793.54 = 1,497.92 : x
  2. Step 2: Convert to fraction form
    5,195.68/7,793.54 = 1,497.92/x
  3. Step 3: Cross multiply
    5,195.68x = 7,793.54 × 1,497.92
  4. Step 4: Simplify right side
    5,195.68x = 11,674,091.95
  5. Step 5: Solve for x
    x = 11,674,091.95/5,195.68
  6. Step 6: Final answer
    x = 2,246.89

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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.