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Finding the Fourth Proportional to 5,138.94, 7,707.08 and 2,019.06

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Solution

The fourth proportional to 5,138.94, 7,707.08 and 2,019.06 is: 3,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.94 : 7,707.08 = 2,019.06 : x
  2. Step 2: Convert to fraction form
    5,138.94/7,707.08 = 2,019.06/x
  3. Step 3: Cross multiply
    5,138.94x = 7,707.08 × 2,019.06
  4. Step 4: Simplify right side
    5,138.94x = 15,561,056.94
  5. Step 5: Solve for x
    x = 15,561,056.94/5,138.94
  6. Step 6: Final answer
    x = 3,028.07

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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.