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Finding the Fourth Proportional to 4,156.07, 5,735.34 and 2,293.07

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Solution

The fourth proportional to 4,156.07, 5,735.34 and 2,293.07 is: 3,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.07 : 5,735.34 = 2,293.07 : x
  2. Step 2: Convert to fraction form
    4,156.07/5,735.34 = 2,293.07/x
  3. Step 3: Cross multiply
    4,156.07x = 5,735.34 × 2,293.07
  4. Step 4: Simplify right side
    4,156.07x = 13,151,507.42
  5. Step 5: Solve for x
    x = 13,151,507.42/4,156.07
  6. Step 6: Final answer
    x = 3,164.41

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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.