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Finding the Fourth Proportional to 3,674.82, 5,070.47 and 2,183.24

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Solution

The fourth proportional to 3,674.82, 5,070.47 and 2,183.24 is: 3,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.82 : 5,070.47 = 2,183.24 : x
  2. Step 2: Convert to fraction form
    3,674.82/5,070.47 = 2,183.24/x
  3. Step 3: Cross multiply
    3,674.82x = 5,070.47 × 2,183.24
  4. Step 4: Simplify right side
    3,674.82x = 11,070,054.68
  5. Step 5: Solve for x
    x = 11,070,054.68/3,674.82
  6. Step 6: Final answer
    x = 3,012.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.