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Finding the Fourth Proportional to 4,194.45, 6,264.86 and 3,798.54

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Solution

The fourth proportional to 4,194.45, 6,264.86 and 3,798.54 is: 5,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.45 : 6,264.86 = 3,798.54 : x
  2. Step 2: Convert to fraction form
    4,194.45/6,264.86 = 3,798.54/x
  3. Step 3: Cross multiply
    4,194.45x = 6,264.86 × 3,798.54
  4. Step 4: Simplify right side
    4,194.45x = 23,797,302.31
  5. Step 5: Solve for x
    x = 23,797,302.31/4,194.45
  6. Step 6: Final answer
    x = 5,673.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.