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Finding the Fourth Proportional to 5,197.36, 7,796.05 and 1,301.77

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Solution

The fourth proportional to 5,197.36, 7,796.05 and 1,301.77 is: 1,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.36 : 7,796.05 = 1,301.77 : x
  2. Step 2: Convert to fraction form
    5,197.36/7,796.05 = 1,301.77/x
  3. Step 3: Cross multiply
    5,197.36x = 7,796.05 × 1,301.77
  4. Step 4: Simplify right side
    5,197.36x = 10,148,664.01
  5. Step 5: Solve for x
    x = 10,148,664.01/5,197.36
  6. Step 6: Final answer
    x = 1,952.66

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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.