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Finding the Fourth Proportional to 4,156.53, 5,735.22 and 2,478.09

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Solution

The fourth proportional to 4,156.53, 5,735.22 and 2,478.09 is: 3,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.53 : 5,735.22 = 2,478.09 : x
  2. Step 2: Convert to fraction form
    4,156.53/5,735.22 = 2,478.09/x
  3. Step 3: Cross multiply
    4,156.53x = 5,735.22 × 2,478.09
  4. Step 4: Simplify right side
    4,156.53x = 14,212,391.33
  5. Step 5: Solve for x
    x = 14,212,391.33/4,156.53
  6. Step 6: Final answer
    x = 3,419.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.