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Finding the Fourth Proportional to 5,200.59, 7,176.74 and 2,842.70

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Solution

The fourth proportional to 5,200.59, 7,176.74 and 2,842.70 is: 3,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.59 : 7,176.74 = 2,842.70 : x
  2. Step 2: Convert to fraction form
    5,200.59/7,176.74 = 2,842.70/x
  3. Step 3: Cross multiply
    5,200.59x = 7,176.74 × 2,842.70
  4. Step 4: Simplify right side
    5,200.59x = 20,401,318.80
  5. Step 5: Solve for x
    x = 20,401,318.80/5,200.59
  6. Step 6: Final answer
    x = 3,922.89

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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.