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Finding the Fourth Proportional to 3,691.86, 5,537.31 and 1,094.60

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Solution

The fourth proportional to 3,691.86, 5,537.31 and 1,094.60 is: 1,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.86 : 5,537.31 = 1,094.60 : x
  2. Step 2: Convert to fraction form
    3,691.86/5,537.31 = 1,094.60/x
  3. Step 3: Cross multiply
    3,691.86x = 5,537.31 × 1,094.60
  4. Step 4: Simplify right side
    3,691.86x = 6,061,111.84
  5. Step 5: Solve for x
    x = 6,061,111.84/3,691.86
  6. Step 6: Final answer
    x = 1,641.75

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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.