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Finding the Fourth Proportional to 5,197.66, 7,796.42 and 1,909.48

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Solution

The fourth proportional to 5,197.66, 7,796.42 and 1,909.48 is: 2,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.66 : 7,796.42 = 1,909.48 : x
  2. Step 2: Convert to fraction form
    5,197.66/7,796.42 = 1,909.48/x
  3. Step 3: Cross multiply
    5,197.66x = 7,796.42 × 1,909.48
  4. Step 4: Simplify right side
    5,197.66x = 14,887,108.06
  5. Step 5: Solve for x
    x = 14,887,108.06/5,197.66
  6. Step 6: Final answer
    x = 2,864.19

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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.