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Finding the Fourth Proportional to 4,120.68, 6,178.14 and 2,038.14

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Solution

The fourth proportional to 4,120.68, 6,178.14 and 2,038.14 is: 3,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.68 : 6,178.14 = 2,038.14 : x
  2. Step 2: Convert to fraction form
    4,120.68/6,178.14 = 2,038.14/x
  3. Step 3: Cross multiply
    4,120.68x = 6,178.14 × 2,038.14
  4. Step 4: Simplify right side
    4,120.68x = 12,591,914.26
  5. Step 5: Solve for x
    x = 12,591,914.26/4,120.68
  6. Step 6: Final answer
    x = 3,055.79

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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.