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Finding the Fourth Proportional to 4,774.50, 6,591.03 and 2,784.73

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Solution

The fourth proportional to 4,774.50, 6,591.03 and 2,784.73 is: 3,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.50 : 6,591.03 = 2,784.73 : x
  2. Step 2: Convert to fraction form
    4,774.50/6,591.03 = 2,784.73/x
  3. Step 3: Cross multiply
    4,774.50x = 6,591.03 × 2,784.73
  4. Step 4: Simplify right side
    4,774.50x = 18,354,238.97
  5. Step 5: Solve for x
    x = 18,354,238.97/4,774.50
  6. Step 6: Final answer
    x = 3,844.22

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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.