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Finding the Fourth Proportional to 4,166.23, 5,734.77 and 3,772.57

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Solution

The fourth proportional to 4,166.23, 5,734.77 and 3,772.57 is: 5,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.23 : 5,734.77 = 3,772.57 : x
  2. Step 2: Convert to fraction form
    4,166.23/5,734.77 = 3,772.57/x
  3. Step 3: Cross multiply
    4,166.23x = 5,734.77 × 3,772.57
  4. Step 4: Simplify right side
    4,166.23x = 21,634,821.26
  5. Step 5: Solve for x
    x = 21,634,821.26/4,166.23
  6. Step 6: Final answer
    x = 5,192.90

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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.