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Finding the Fourth Proportional to 4,227.63, 5,835.76 and 3,784.76

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Solution

The fourth proportional to 4,227.63, 5,835.76 and 3,784.76 is: 5,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.63 : 5,835.76 = 3,784.76 : x
  2. Step 2: Convert to fraction form
    4,227.63/5,835.76 = 3,784.76/x
  3. Step 3: Cross multiply
    4,227.63x = 5,835.76 × 3,784.76
  4. Step 4: Simplify right side
    4,227.63x = 22,086,955.75
  5. Step 5: Solve for x
    x = 22,086,955.75/4,227.63
  6. Step 6: Final answer
    x = 5,224.43

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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.