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Finding the Fourth Proportional to 4,544.61, 6,809.62 and 3,815.61

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Solution

The fourth proportional to 4,544.61, 6,809.62 and 3,815.61 is: 5,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.61 : 6,809.62 = 3,815.61 : x
  2. Step 2: Convert to fraction form
    4,544.61/6,809.62 = 3,815.61/x
  3. Step 3: Cross multiply
    4,544.61x = 6,809.62 × 3,815.61
  4. Step 4: Simplify right side
    4,544.61x = 25,982,826.25
  5. Step 5: Solve for x
    x = 25,982,826.25/4,544.61
  6. Step 6: Final answer
    x = 5,717.29

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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.