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Finding the Fourth Proportional to 3,806.42, 5,710.36 and 1,208.84

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Solution

The fourth proportional to 3,806.42, 5,710.36 and 1,208.84 is: 1,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.42 : 5,710.36 = 1,208.84 : x
  2. Step 2: Convert to fraction form
    3,806.42/5,710.36 = 1,208.84/x
  3. Step 3: Cross multiply
    3,806.42x = 5,710.36 × 1,208.84
  4. Step 4: Simplify right side
    3,806.42x = 6,902,911.58
  5. Step 5: Solve for x
    x = 6,902,911.58/3,806.42
  6. Step 6: Final answer
    x = 1,813.49

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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.