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Finding the Fourth Proportional to 4,128.93, 6,194.03 and 1,354.97

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Solution

The fourth proportional to 4,128.93, 6,194.03 and 1,354.97 is: 2,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.93 : 6,194.03 = 1,354.97 : x
  2. Step 2: Convert to fraction form
    4,128.93/6,194.03 = 1,354.97/x
  3. Step 3: Cross multiply
    4,128.93x = 6,194.03 × 1,354.97
  4. Step 4: Simplify right side
    4,128.93x = 8,392,711.40
  5. Step 5: Solve for x
    x = 8,392,711.40/4,128.93
  6. Step 6: Final answer
    x = 2,032.66

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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.