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Finding the Fourth Proportional to 5,197.36, 7,796.04 and 1,301.76

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Solution

The fourth proportional to 5,197.36, 7,796.04 and 1,301.76 is: 1,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.36 : 7,796.04 = 1,301.76 : x
  2. Step 2: Convert to fraction form
    5,197.36/7,796.04 = 1,301.76/x
  3. Step 3: Cross multiply
    5,197.36x = 7,796.04 × 1,301.76
  4. Step 4: Simplify right side
    5,197.36x = 10,148,597.38
  5. Step 5: Solve for x
    x = 10,148,597.38/5,197.36
  6. Step 6: Final answer
    x = 1,952.65

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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.