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Finding the Fourth Proportional to 3,474.84, 5,213.74 and 2,305.25

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Solution

The fourth proportional to 3,474.84, 5,213.74 and 2,305.25 is: 3,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.84 : 5,213.74 = 2,305.25 : x
  2. Step 2: Convert to fraction form
    3,474.84/5,213.74 = 2,305.25/x
  3. Step 3: Cross multiply
    3,474.84x = 5,213.74 × 2,305.25
  4. Step 4: Simplify right side
    3,474.84x = 12,018,955.34
  5. Step 5: Solve for x
    x = 12,018,955.34/3,474.84
  6. Step 6: Final answer
    x = 3,458.86

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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.