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Finding the Fourth Proportional to 4,164.54, 5,749.17 and 2,593.14

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Solution

The fourth proportional to 4,164.54, 5,749.17 and 2,593.14 is: 3,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.54 : 5,749.17 = 2,593.14 : x
  2. Step 2: Convert to fraction form
    4,164.54/5,749.17 = 2,593.14/x
  3. Step 3: Cross multiply
    4,164.54x = 5,749.17 × 2,593.14
  4. Step 4: Simplify right side
    4,164.54x = 14,908,402.69
  5. Step 5: Solve for x
    x = 14,908,402.69/4,164.54
  6. Step 6: Final answer
    x = 3,579.84

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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.