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Finding the Fourth Proportional to 5,638.50, 7,784.66 and 3,622.73

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Solution

The fourth proportional to 5,638.50, 7,784.66 and 3,622.73 is: 5,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.50 : 7,784.66 = 3,622.73 : x
  2. Step 2: Convert to fraction form
    5,638.50/7,784.66 = 3,622.73/x
  3. Step 3: Cross multiply
    5,638.50x = 7,784.66 × 3,622.73
  4. Step 4: Simplify right side
    5,638.50x = 28,201,721.32
  5. Step 5: Solve for x
    x = 28,201,721.32/5,638.50
  6. Step 6: Final answer
    x = 5,001.64

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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.