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Finding the Fourth Proportional to 3,691.83, 5,538.65 and 1,094.77

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Solution

The fourth proportional to 3,691.83, 5,538.65 and 1,094.77 is: 1,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.83 : 5,538.65 = 1,094.77 : x
  2. Step 2: Convert to fraction form
    3,691.83/5,538.65 = 1,094.77/x
  3. Step 3: Cross multiply
    3,691.83x = 5,538.65 × 1,094.77
  4. Step 4: Simplify right side
    3,691.83x = 6,063,527.39
  5. Step 5: Solve for x
    x = 6,063,527.39/3,691.83
  6. Step 6: Final answer
    x = 1,642.42

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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.