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Finding the Fourth Proportional to 4,850.21, 7,278.05 and 3,807.74

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Solution

The fourth proportional to 4,850.21, 7,278.05 and 3,807.74 is: 5,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.21 : 7,278.05 = 3,807.74 : x
  2. Step 2: Convert to fraction form
    4,850.21/7,278.05 = 3,807.74/x
  3. Step 3: Cross multiply
    4,850.21x = 7,278.05 × 3,807.74
  4. Step 4: Simplify right side
    4,850.21x = 27,712,949.82
  5. Step 5: Solve for x
    x = 27,712,949.82/4,850.21
  6. Step 6: Final answer
    x = 5,713.76

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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.