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Finding the Fourth Proportional to 5,200.84, 7,176.98 and 2,843.08

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Solution

The fourth proportional to 5,200.84, 7,176.98 and 2,843.08 is: 3,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.84 : 7,176.98 = 2,843.08 : x
  2. Step 2: Convert to fraction form
    5,200.84/7,176.98 = 2,843.08/x
  3. Step 3: Cross multiply
    5,200.84x = 7,176.98 × 2,843.08
  4. Step 4: Simplify right side
    5,200.84x = 20,404,728.30
  5. Step 5: Solve for x
    x = 20,404,728.30/5,200.84
  6. Step 6: Final answer
    x = 3,923.35

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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.