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Finding the Fourth Proportional to 4,782.51, 7,163.37 and 2,438.51

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Solution

The fourth proportional to 4,782.51, 7,163.37 and 2,438.51 is: 3,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.51 : 7,163.37 = 2,438.51 : x
  2. Step 2: Convert to fraction form
    4,782.51/7,163.37 = 2,438.51/x
  3. Step 3: Cross multiply
    4,782.51x = 7,163.37 × 2,438.51
  4. Step 4: Simplify right side
    4,782.51x = 17,467,913.56
  5. Step 5: Solve for x
    x = 17,467,913.56/4,782.51
  6. Step 6: Final answer
    x = 3,652.46

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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.