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Finding the Fourth Proportional to 4,674.68, 7,003 and 3,682.25

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Solution

The fourth proportional to 4,674.68, 7,003 and 3,682.25 is: 5,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.68 : 7,003 = 3,682.25 : x
  2. Step 2: Convert to fraction form
    4,674.68/7,003 = 3,682.25/x
  3. Step 3: Cross multiply
    4,674.68x = 7,003 × 3,682.25
  4. Step 4: Simplify right side
    4,674.68x = 25,786,796.75
  5. Step 5: Solve for x
    x = 25,786,796.75/4,674.68
  6. Step 6: Final answer
    x = 5,516.27

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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.