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Finding the Fourth Proportional to 5,196.71, 7,177.44 and 3,786.70

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Solution

The fourth proportional to 5,196.71, 7,177.44 and 3,786.70 is: 5,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.71 : 7,177.44 = 3,786.70 : x
  2. Step 2: Convert to fraction form
    5,196.71/7,177.44 = 3,786.70/x
  3. Step 3: Cross multiply
    5,196.71x = 7,177.44 × 3,786.70
  4. Step 4: Simplify right side
    5,196.71x = 27,178,789.81
  5. Step 5: Solve for x
    x = 27,178,789.81/5,196.71
  6. Step 6: Final answer
    x = 5,230.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.