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Finding the Fourth Proportional to 4,611.75, 6,914.25 and 1,690.08

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Solution

The fourth proportional to 4,611.75, 6,914.25 and 1,690.08 is: 2,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.75 : 6,914.25 = 1,690.08 : x
  2. Step 2: Convert to fraction form
    4,611.75/6,914.25 = 1,690.08/x
  3. Step 3: Cross multiply
    4,611.75x = 6,914.25 × 1,690.08
  4. Step 4: Simplify right side
    4,611.75x = 11,685,635.64
  5. Step 5: Solve for x
    x = 11,685,635.64/4,611.75
  6. Step 6: Final answer
    x = 2,533.88

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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.