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Finding the Fourth Proportional to 3,588.71, 4,951.40 and 2,262.86

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Solution

The fourth proportional to 3,588.71, 4,951.40 and 2,262.86 is: 3,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.71 : 4,951.40 = 2,262.86 : x
  2. Step 2: Convert to fraction form
    3,588.71/4,951.40 = 2,262.86/x
  3. Step 3: Cross multiply
    3,588.71x = 4,951.40 × 2,262.86
  4. Step 4: Simplify right side
    3,588.71x = 11,204,288.93
  5. Step 5: Solve for x
    x = 11,204,288.93/3,588.71
  6. Step 6: Final answer
    x = 3,122.09

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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.