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Finding the Fourth Proportional to 5,195.52, 7,793.19 and 1,497.60

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Solution

The fourth proportional to 5,195.52, 7,793.19 and 1,497.60 is: 2,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.52 : 7,793.19 = 1,497.60 : x
  2. Step 2: Convert to fraction form
    5,195.52/7,793.19 = 1,497.60/x
  3. Step 3: Cross multiply
    5,195.52x = 7,793.19 × 1,497.60
  4. Step 4: Simplify right side
    5,195.52x = 11,671,081.34
  5. Step 5: Solve for x
    x = 11,671,081.34/5,195.52
  6. Step 6: Final answer
    x = 2,246.37

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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.