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Finding the Fourth Proportional to 4,097.38, 6,146.07 and 1,755.86

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Solution

The fourth proportional to 4,097.38, 6,146.07 and 1,755.86 is: 2,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.38 : 6,146.07 = 1,755.86 : x
  2. Step 2: Convert to fraction form
    4,097.38/6,146.07 = 1,755.86/x
  3. Step 3: Cross multiply
    4,097.38x = 6,146.07 × 1,755.86
  4. Step 4: Simplify right side
    4,097.38x = 10,791,671.94
  5. Step 5: Solve for x
    x = 10,791,671.94/4,097.38
  6. Step 6: Final answer
    x = 2,633.80

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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.