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Finding the Fourth Proportional to 4,879.74, 7,306.95 and 4,097.94

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Solution

The fourth proportional to 4,879.74, 7,306.95 and 4,097.94 is: 6,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.74 : 7,306.95 = 4,097.94 : x
  2. Step 2: Convert to fraction form
    4,879.74/7,306.95 = 4,097.94/x
  3. Step 3: Cross multiply
    4,879.74x = 7,306.95 × 4,097.94
  4. Step 4: Simplify right side
    4,879.74x = 29,943,442.68
  5. Step 5: Solve for x
    x = 29,943,442.68/4,879.74
  6. Step 6: Final answer
    x = 6,136.28

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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.