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Finding the Fourth Proportional to 4,849.47, 6,693.20 and 3,167.98

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Solution

The fourth proportional to 4,849.47, 6,693.20 and 3,167.98 is: 4,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.47 : 6,693.20 = 3,167.98 : x
  2. Step 2: Convert to fraction form
    4,849.47/6,693.20 = 3,167.98/x
  3. Step 3: Cross multiply
    4,849.47x = 6,693.20 × 3,167.98
  4. Step 4: Simplify right side
    4,849.47x = 21,203,923.74
  5. Step 5: Solve for x
    x = 21,203,923.74/4,849.47
  6. Step 6: Final answer
    x = 4,372.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.