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Finding the Fourth Proportional to 4,873.96, 7,327.14 and 3,778.84

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Solution

The fourth proportional to 4,873.96, 7,327.14 and 3,778.84 is: 5,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.96 : 7,327.14 = 3,778.84 : x
  2. Step 2: Convert to fraction form
    4,873.96/7,327.14 = 3,778.84/x
  3. Step 3: Cross multiply
    4,873.96x = 7,327.14 × 3,778.84
  4. Step 4: Simplify right side
    4,873.96x = 27,688,089.72
  5. Step 5: Solve for x
    x = 27,688,089.72/4,873.96
  6. Step 6: Final answer
    x = 5,680.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.