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Finding the Fourth Proportional to 4,993, 7,484.38 and 2,073

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Solution

The fourth proportional to 4,993, 7,484.38 and 2,073 is: 3,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993 : 7,484.38 = 2,073 : x
  2. Step 2: Convert to fraction form
    4,993/7,484.38 = 2,073/x
  3. Step 3: Cross multiply
    4,993x = 7,484.38 × 2,073
  4. Step 4: Simplify right side
    4,993x = 15,515,119.74
  5. Step 5: Solve for x
    x = 15,515,119.74/4,993
  6. Step 6: Final answer
    x = 3,107.37

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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.