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Finding the Fourth Proportional to 2,905.17, 4,353.42 and 2,486.22

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Solution

The fourth proportional to 2,905.17, 4,353.42 and 2,486.22 is: 3,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.17 : 4,353.42 = 2,486.22 : x
  2. Step 2: Convert to fraction form
    2,905.17/4,353.42 = 2,486.22/x
  3. Step 3: Cross multiply
    2,905.17x = 4,353.42 × 2,486.22
  4. Step 4: Simplify right side
    2,905.17x = 10,823,559.87
  5. Step 5: Solve for x
    x = 10,823,559.87/2,905.17
  6. Step 6: Final answer
    x = 3,725.62

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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.