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Finding the Fourth Proportional to 5,135.84, 7,708.13 and 2,018.03

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Solution

The fourth proportional to 5,135.84, 7,708.13 and 2,018.03 is: 3,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.84 : 7,708.13 = 2,018.03 : x
  2. Step 2: Convert to fraction form
    5,135.84/7,708.13 = 2,018.03/x
  3. Step 3: Cross multiply
    5,135.84x = 7,708.13 × 2,018.03
  4. Step 4: Simplify right side
    5,135.84x = 15,555,236.78
  5. Step 5: Solve for x
    x = 15,555,236.78/5,135.84
  6. Step 6: Final answer
    x = 3,028.76

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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.