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Finding the Fourth Proportional to 4,105.08, 6,157.46 and 1,369.08

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Solution

The fourth proportional to 4,105.08, 6,157.46 and 1,369.08 is: 2,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.08 : 6,157.46 = 1,369.08 : x
  2. Step 2: Convert to fraction form
    4,105.08/6,157.46 = 1,369.08/x
  3. Step 3: Cross multiply
    4,105.08x = 6,157.46 × 1,369.08
  4. Step 4: Simplify right side
    4,105.08x = 8,430,055.34
  5. Step 5: Solve for x
    x = 8,430,055.34/4,105.08
  6. Step 6: Final answer
    x = 2,053.57

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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.