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Finding the Fourth Proportional to 6,074.49, 8,382.83 and 3,421.95

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Solution

The fourth proportional to 6,074.49, 8,382.83 and 3,421.95 is: 4,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.49 : 8,382.83 = 3,421.95 : x
  2. Step 2: Convert to fraction form
    6,074.49/8,382.83 = 3,421.95/x
  3. Step 3: Cross multiply
    6,074.49x = 8,382.83 × 3,421.95
  4. Step 4: Simplify right side
    6,074.49x = 28,685,625.12
  5. Step 5: Solve for x
    x = 28,685,625.12/6,074.49
  6. Step 6: Final answer
    x = 4,722.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.