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Finding the Fourth Proportional to 4,081.95, 6,120 and 1,709.94

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Solution

The fourth proportional to 4,081.95, 6,120 and 1,709.94 is: 2,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081.95 : 6,120 = 1,709.94 : x
  2. Step 2: Convert to fraction form
    4,081.95/6,120 = 1,709.94/x
  3. Step 3: Cross multiply
    4,081.95x = 6,120 × 1,709.94
  4. Step 4: Simplify right side
    4,081.95x = 10,464,832.80
  5. Step 5: Solve for x
    x = 10,464,832.80/4,081.95
  6. Step 6: Final answer
    x = 2,563.68

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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.