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Finding the Fourth Proportional to 5,734.27, 7,914.93 and 3,377.77

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Solution

The fourth proportional to 5,734.27, 7,914.93 and 3,377.77 is: 4,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.27 : 7,914.93 = 3,377.77 : x
  2. Step 2: Convert to fraction form
    5,734.27/7,914.93 = 3,377.77/x
  3. Step 3: Cross multiply
    5,734.27x = 7,914.93 × 3,377.77
  4. Step 4: Simplify right side
    5,734.27x = 26,734,813.11
  5. Step 5: Solve for x
    x = 26,734,813.11/5,734.27
  6. Step 6: Final answer
    x = 4,662.29

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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.