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Finding the Fourth Proportional to 4,129.97, 6,194.88 and 1,356.66

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Solution

The fourth proportional to 4,129.97, 6,194.88 and 1,356.66 is: 2,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.97 : 6,194.88 = 1,356.66 : x
  2. Step 2: Convert to fraction form
    4,129.97/6,194.88 = 1,356.66/x
  3. Step 3: Cross multiply
    4,129.97x = 6,194.88 × 1,356.66
  4. Step 4: Simplify right side
    4,129.97x = 8,404,345.90
  5. Step 5: Solve for x
    x = 8,404,345.90/4,129.97
  6. Step 6: Final answer
    x = 2,034.97

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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.