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Finding the Fourth Proportional to 5,197.37, 7,796.05 and 1,908.16

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Solution

The fourth proportional to 5,197.37, 7,796.05 and 1,908.16 is: 2,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.37 : 7,796.05 = 1,908.16 : x
  2. Step 2: Convert to fraction form
    5,197.37/7,796.05 = 1,908.16/x
  3. Step 3: Cross multiply
    5,197.37x = 7,796.05 × 1,908.16
  4. Step 4: Simplify right side
    5,197.37x = 14,876,086.51
  5. Step 5: Solve for x
    x = 14,876,086.51/5,197.37
  6. Step 6: Final answer
    x = 2,862.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.