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Finding the Fourth Proportional to 5,197.37, 7,795.62 and 2,235.78

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Solution

The fourth proportional to 5,197.37, 7,795.62 and 2,235.78 is: 3,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.37 : 7,795.62 = 2,235.78 : x
  2. Step 2: Convert to fraction form
    5,197.37/7,795.62 = 2,235.78/x
  3. Step 3: Cross multiply
    5,197.37x = 7,795.62 × 2,235.78
  4. Step 4: Simplify right side
    5,197.37x = 17,429,291.28
  5. Step 5: Solve for x
    x = 17,429,291.28/5,197.37
  6. Step 6: Final answer
    x = 3,353.49

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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.