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Finding the Fourth Proportional to 4,165.96, 5,747.22 and 2,509

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Solution

The fourth proportional to 4,165.96, 5,747.22 and 2,509 is: 3,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.96 : 5,747.22 = 2,509 : x
  2. Step 2: Convert to fraction form
    4,165.96/5,747.22 = 2,509/x
  3. Step 3: Cross multiply
    4,165.96x = 5,747.22 × 2,509
  4. Step 4: Simplify right side
    4,165.96x = 14,419,774.98
  5. Step 5: Solve for x
    x = 14,419,774.98/4,165.96
  6. Step 6: Final answer
    x = 3,461.33

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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.