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Finding the Fourth Proportional to 5,200.68, 7,176.54 and 2,962.11

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Solution

The fourth proportional to 5,200.68, 7,176.54 and 2,962.11 is: 4,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.68 : 7,176.54 = 2,962.11 : x
  2. Step 2: Convert to fraction form
    5,200.68/7,176.54 = 2,962.11/x
  3. Step 3: Cross multiply
    5,200.68x = 7,176.54 × 2,962.11
  4. Step 4: Simplify right side
    5,200.68x = 21,257,738.92
  5. Step 5: Solve for x
    x = 21,257,738.92/5,200.68
  6. Step 6: Final answer
    x = 4,087.49

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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.