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Finding the Fourth Proportional to 5,200.86, 7,176.96 and 2,963.22

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Solution

The fourth proportional to 5,200.86, 7,176.96 and 2,963.22 is: 4,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.86 : 7,176.96 = 2,963.22 : x
  2. Step 2: Convert to fraction form
    5,200.86/7,176.96 = 2,963.22/x
  3. Step 3: Cross multiply
    5,200.86x = 7,176.96 × 2,963.22
  4. Step 4: Simplify right side
    5,200.86x = 21,266,911.41
  5. Step 5: Solve for x
    x = 21,266,911.41/5,200.86
  6. Step 6: Final answer
    x = 4,089.11

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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.