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Finding the Fourth Proportional to 4,464, 6,694.74 and 1,863.72

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Solution

The fourth proportional to 4,464, 6,694.74 and 1,863.72 is: 2,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464 : 6,694.74 = 1,863.72 : x
  2. Step 2: Convert to fraction form
    4,464/6,694.74 = 1,863.72/x
  3. Step 3: Cross multiply
    4,464x = 6,694.74 × 1,863.72
  4. Step 4: Simplify right side
    4,464x = 12,477,120.83
  5. Step 5: Solve for x
    x = 12,477,120.83/4,464
  6. Step 6: Final answer
    x = 2,795.05

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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.