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Finding the Fourth Proportional to 4,141.69, 6,201.96 and 2,290.78

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Solution

The fourth proportional to 4,141.69, 6,201.96 and 2,290.78 is: 3,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.69 : 6,201.96 = 2,290.78 : x
  2. Step 2: Convert to fraction form
    4,141.69/6,201.96 = 2,290.78/x
  3. Step 3: Cross multiply
    4,141.69x = 6,201.96 × 2,290.78
  4. Step 4: Simplify right side
    4,141.69x = 14,207,325.93
  5. Step 5: Solve for x
    x = 14,207,325.93/4,141.69
  6. Step 6: Final answer
    x = 3,430.32

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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.