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Finding the Fourth Proportional to 6,083.48, 8,390.33 and 4,194.63

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Solution

The fourth proportional to 6,083.48, 8,390.33 and 4,194.63 is: 5,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.48 : 8,390.33 = 4,194.63 : x
  2. Step 2: Convert to fraction form
    6,083.48/8,390.33 = 4,194.63/x
  3. Step 3: Cross multiply
    6,083.48x = 8,390.33 × 4,194.63
  4. Step 4: Simplify right side
    6,083.48x = 35,194,308.95
  5. Step 5: Solve for x
    x = 35,194,308.95/6,083.48
  6. Step 6: Final answer
    x = 5,785.22

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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.