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Finding the Fourth Proportional to 5,201.06, 7,803.41 and 2,278.98

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Solution

The fourth proportional to 5,201.06, 7,803.41 and 2,278.98 is: 3,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.06 : 7,803.41 = 2,278.98 : x
  2. Step 2: Convert to fraction form
    5,201.06/7,803.41 = 2,278.98/x
  3. Step 3: Cross multiply
    5,201.06x = 7,803.41 × 2,278.98
  4. Step 4: Simplify right side
    5,201.06x = 17,783,803.93
  5. Step 5: Solve for x
    x = 17,783,803.93/5,201.06
  6. Step 6: Final answer
    x = 3,419.27

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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.