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Finding the Fourth Proportional to 5,638.44, 7,783.20 and 5,047.92

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Solution

The fourth proportional to 5,638.44, 7,783.20 and 5,047.92 is: 6,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.44 : 7,783.20 = 5,047.92 : x
  2. Step 2: Convert to fraction form
    5,638.44/7,783.20 = 5,047.92/x
  3. Step 3: Cross multiply
    5,638.44x = 7,783.20 × 5,047.92
  4. Step 4: Simplify right side
    5,638.44x = 39,288,970.94
  5. Step 5: Solve for x
    x = 39,288,970.94/5,638.44
  6. Step 6: Final answer
    x = 6,968.06

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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.