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Finding the Fourth Proportional to 4,048.25, 6,059.16 and 2,194.77

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Solution

The fourth proportional to 4,048.25, 6,059.16 and 2,194.77 is: 3,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.25 : 6,059.16 = 2,194.77 : x
  2. Step 2: Convert to fraction form
    4,048.25/6,059.16 = 2,194.77/x
  3. Step 3: Cross multiply
    4,048.25x = 6,059.16 × 2,194.77
  4. Step 4: Simplify right side
    4,048.25x = 13,298,462.59
  5. Step 5: Solve for x
    x = 13,298,462.59/4,048.25
  6. Step 6: Final answer
    x = 3,284.99

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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.