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Finding the Fourth Proportional to 4,828.62, 7,226.52 and 3,737.85

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Solution

The fourth proportional to 4,828.62, 7,226.52 and 3,737.85 is: 5,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.62 : 7,226.52 = 3,737.85 : x
  2. Step 2: Convert to fraction form
    4,828.62/7,226.52 = 3,737.85/x
  3. Step 3: Cross multiply
    4,828.62x = 7,226.52 × 3,737.85
  4. Step 4: Simplify right side
    4,828.62x = 27,011,647.78
  5. Step 5: Solve for x
    x = 27,011,647.78/4,828.62
  6. Step 6: Final answer
    x = 5,594.07

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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.