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Finding the Fourth Proportional to 4,651.11, 6,965.73 and 3,670.65

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Solution

The fourth proportional to 4,651.11, 6,965.73 and 3,670.65 is: 5,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.11 : 6,965.73 = 3,670.65 : x
  2. Step 2: Convert to fraction form
    4,651.11/6,965.73 = 3,670.65/x
  3. Step 3: Cross multiply
    4,651.11x = 6,965.73 × 3,670.65
  4. Step 4: Simplify right side
    4,651.11x = 25,568,756.82
  5. Step 5: Solve for x
    x = 25,568,756.82/4,651.11
  6. Step 6: Final answer
    x = 5,497.35

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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.