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Finding the Fourth Proportional to 4,493.72, 6,199.51 and 2,982.00

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Solution

The fourth proportional to 4,493.72, 6,199.51 and 2,982.00 is: 4,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.72 : 6,199.51 = 2,982.00 : x
  2. Step 2: Convert to fraction form
    4,493.72/6,199.51 = 2,982.00/x
  3. Step 3: Cross multiply
    4,493.72x = 6,199.51 × 2,982.00
  4. Step 4: Simplify right side
    4,493.72x = 18,486,919.30
  5. Step 5: Solve for x
    x = 18,486,919.30/4,493.72
  6. Step 6: Final answer
    x = 4,113.94

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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.