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Finding the Fourth Proportional to 5,733.27, 7,913.55 and 3,376.77

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Solution

The fourth proportional to 5,733.27, 7,913.55 and 3,376.77 is: 4,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.27 : 7,913.55 = 3,376.77 : x
  2. Step 2: Convert to fraction form
    5,733.27/7,913.55 = 3,376.77/x
  3. Step 3: Cross multiply
    5,733.27x = 7,913.55 × 3,376.77
  4. Step 4: Simplify right side
    5,733.27x = 26,722,238.23
  5. Step 5: Solve for x
    x = 26,722,238.23/5,733.27
  6. Step 6: Final answer
    x = 4,660.91

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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.