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Finding the Fourth Proportional to 5,208.46, 7,808.37 and 2,433.67

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Solution

The fourth proportional to 5,208.46, 7,808.37 and 2,433.67 is: 3,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.46 : 7,808.37 = 2,433.67 : x
  2. Step 2: Convert to fraction form
    5,208.46/7,808.37 = 2,433.67/x
  3. Step 3: Cross multiply
    5,208.46x = 7,808.37 × 2,433.67
  4. Step 4: Simplify right side
    5,208.46x = 19,002,995.82
  5. Step 5: Solve for x
    x = 19,002,995.82/5,208.46
  6. Step 6: Final answer
    x = 3,648.49

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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.