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Finding the Fourth Proportional to 4,171.02, 5,755.80 and 2,402.24

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Solution

The fourth proportional to 4,171.02, 5,755.80 and 2,402.24 is: 3,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.02 : 5,755.80 = 2,402.24 : x
  2. Step 2: Convert to fraction form
    4,171.02/5,755.80 = 2,402.24/x
  3. Step 3: Cross multiply
    4,171.02x = 5,755.80 × 2,402.24
  4. Step 4: Simplify right side
    4,171.02x = 13,826,812.99
  5. Step 5: Solve for x
    x = 13,826,812.99/4,171.02
  6. Step 6: Final answer
    x = 3,314.97

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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.