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Finding the Fourth Proportional to 5,734.92, 7,911 and 3,376.80

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Solution

The fourth proportional to 5,734.92, 7,911 and 3,376.80 is: 4,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.92 : 7,911 = 3,376.80 : x
  2. Step 2: Convert to fraction form
    5,734.92/7,911 = 3,376.80/x
  3. Step 3: Cross multiply
    5,734.92x = 7,911 × 3,376.80
  4. Step 4: Simplify right side
    5,734.92x = 26,713,864.80
  5. Step 5: Solve for x
    x = 26,713,864.80/5,734.92
  6. Step 6: Final answer
    x = 4,658.11

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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.