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Finding the Fourth Proportional to 5,734.35, 7,911.09 and 3,376.08

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Solution

The fourth proportional to 5,734.35, 7,911.09 and 3,376.08 is: 4,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.35 : 7,911.09 = 3,376.08 : x
  2. Step 2: Convert to fraction form
    5,734.35/7,911.09 = 3,376.08/x
  3. Step 3: Cross multiply
    5,734.35x = 7,911.09 × 3,376.08
  4. Step 4: Simplify right side
    5,734.35x = 26,708,472.73
  5. Step 5: Solve for x
    x = 26,708,472.73/5,734.35
  6. Step 6: Final answer
    x = 4,657.63

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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.