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Finding the Fourth Proportional to 4,134, 6,201.96 and 1,212.08

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Solution

The fourth proportional to 4,134, 6,201.96 and 1,212.08 is: 1,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134 : 6,201.96 = 1,212.08 : x
  2. Step 2: Convert to fraction form
    4,134/6,201.96 = 1,212.08/x
  3. Step 3: Cross multiply
    4,134x = 6,201.96 × 1,212.08
  4. Step 4: Simplify right side
    4,134x = 7,517,271.68
  5. Step 5: Solve for x
    x = 7,517,271.68/4,134
  6. Step 6: Final answer
    x = 1,818.40

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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.