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Finding the Fourth Proportional to 3,763.72, 5,192.34 and 2,365.96

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Solution

The fourth proportional to 3,763.72, 5,192.34 and 2,365.96 is: 3,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.72 : 5,192.34 = 2,365.96 : x
  2. Step 2: Convert to fraction form
    3,763.72/5,192.34 = 2,365.96/x
  3. Step 3: Cross multiply
    3,763.72x = 5,192.34 × 2,365.96
  4. Step 4: Simplify right side
    3,763.72x = 12,284,868.75
  5. Step 5: Solve for x
    x = 12,284,868.75/3,763.72
  6. Step 6: Final answer
    x = 3,264.02

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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.