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Finding the Fourth Proportional to 4,673.84, 7,010.73 and 3,208.52

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Solution

The fourth proportional to 4,673.84, 7,010.73 and 3,208.52 is: 4,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.84 : 7,010.73 = 3,208.52 : x
  2. Step 2: Convert to fraction form
    4,673.84/7,010.73 = 3,208.52/x
  3. Step 3: Cross multiply
    4,673.84x = 7,010.73 × 3,208.52
  4. Step 4: Simplify right side
    4,673.84x = 22,494,067.42
  5. Step 5: Solve for x
    x = 22,494,067.42/4,673.84
  6. Step 6: Final answer
    x = 4,812.76

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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.