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Finding the Fourth Proportional to 4,855.93, 7,281.74 and 3,698.17

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Solution

The fourth proportional to 4,855.93, 7,281.74 and 3,698.17 is: 5,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.93 : 7,281.74 = 3,698.17 : x
  2. Step 2: Convert to fraction form
    4,855.93/7,281.74 = 3,698.17/x
  3. Step 3: Cross multiply
    4,855.93x = 7,281.74 × 3,698.17
  4. Step 4: Simplify right side
    4,855.93x = 26,929,093.92
  5. Step 5: Solve for x
    x = 26,929,093.92/4,855.93
  6. Step 6: Final answer
    x = 5,545.61

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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.