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Finding the Fourth Proportional to 4,989.56, 7,486.13 and 2,138.84

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Solution

The fourth proportional to 4,989.56, 7,486.13 and 2,138.84 is: 3,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.56 : 7,486.13 = 2,138.84 : x
  2. Step 2: Convert to fraction form
    4,989.56/7,486.13 = 2,138.84/x
  3. Step 3: Cross multiply
    4,989.56x = 7,486.13 × 2,138.84
  4. Step 4: Simplify right side
    4,989.56x = 16,011,634.29
  5. Step 5: Solve for x
    x = 16,011,634.29/4,989.56
  6. Step 6: Final answer
    x = 3,209.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.