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Finding the Fourth Proportional to 5,838.93, 8,758.17 and 3,976.74

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Solution

The fourth proportional to 5,838.93, 8,758.17 and 3,976.74 is: 5,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.93 : 8,758.17 = 3,976.74 : x
  2. Step 2: Convert to fraction form
    5,838.93/8,758.17 = 3,976.74/x
  3. Step 3: Cross multiply
    5,838.93x = 8,758.17 × 3,976.74
  4. Step 4: Simplify right side
    5,838.93x = 34,828,964.97
  5. Step 5: Solve for x
    x = 34,828,964.97/5,838.93
  6. Step 6: Final answer
    x = 5,964.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.