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Finding the Fourth Proportional to 5,196.71, 7,796.29 and 1,686.72

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Solution

The fourth proportional to 5,196.71, 7,796.29 and 1,686.72 is: 2,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.71 : 7,796.29 = 1,686.72 : x
  2. Step 2: Convert to fraction form
    5,196.71/7,796.29 = 1,686.72/x
  3. Step 3: Cross multiply
    5,196.71x = 7,796.29 × 1,686.72
  4. Step 4: Simplify right side
    5,196.71x = 13,150,158.27
  5. Step 5: Solve for x
    x = 13,150,158.27/5,196.71
  6. Step 6: Final answer
    x = 2,530.48

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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.