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Finding the Fourth Proportional to 3,794.64, 5,691.48 and 1,603.08

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Solution

The fourth proportional to 3,794.64, 5,691.48 and 1,603.08 is: 2,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.64 : 5,691.48 = 1,603.08 : x
  2. Step 2: Convert to fraction form
    3,794.64/5,691.48 = 1,603.08/x
  3. Step 3: Cross multiply
    3,794.64x = 5,691.48 × 1,603.08
  4. Step 4: Simplify right side
    3,794.64x = 9,123,897.76
  5. Step 5: Solve for x
    x = 9,123,897.76/3,794.64
  6. Step 6: Final answer
    x = 2,404.42

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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.