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Finding the Fourth Proportional to 4,473.64, 6,709.44 and 1,700.62

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Solution

The fourth proportional to 4,473.64, 6,709.44 and 1,700.62 is: 2,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.64 : 6,709.44 = 1,700.62 : x
  2. Step 2: Convert to fraction form
    4,473.64/6,709.44 = 1,700.62/x
  3. Step 3: Cross multiply
    4,473.64x = 6,709.44 × 1,700.62
  4. Step 4: Simplify right side
    4,473.64x = 11,410,207.85
  5. Step 5: Solve for x
    x = 11,410,207.85/4,473.64
  6. Step 6: Final answer
    x = 2,550.54

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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.