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Finding the Fourth Proportional to 4,156.08, 5,735.34 and 2,293.08

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Solution

The fourth proportional to 4,156.08, 5,735.34 and 2,293.08 is: 3,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.08 : 5,735.34 = 2,293.08 : x
  2. Step 2: Convert to fraction form
    4,156.08/5,735.34 = 2,293.08/x
  3. Step 3: Cross multiply
    4,156.08x = 5,735.34 × 2,293.08
  4. Step 4: Simplify right side
    4,156.08x = 13,151,593.45
  5. Step 5: Solve for x
    x = 13,151,593.45/4,156.08
  6. Step 6: Final answer
    x = 3,164.42

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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.