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Finding the Fourth Proportional to 5,200.74, 7,176.87 and 2,842.83

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Solution

The fourth proportional to 5,200.74, 7,176.87 and 2,842.83 is: 3,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.74 : 7,176.87 = 2,842.83 : x
  2. Step 2: Convert to fraction form
    5,200.74/7,176.87 = 2,842.83/x
  3. Step 3: Cross multiply
    5,200.74x = 7,176.87 × 2,842.83
  4. Step 4: Simplify right side
    5,200.74x = 20,402,621.34
  5. Step 5: Solve for x
    x = 20,402,621.34/5,200.74
  6. Step 6: Final answer
    x = 3,923.02

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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.