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Finding the Fourth Proportional to 3,773.78, 5,658.60 and 1,308.38

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Solution

The fourth proportional to 3,773.78, 5,658.60 and 1,308.38 is: 1,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.78 : 5,658.60 = 1,308.38 : x
  2. Step 2: Convert to fraction form
    3,773.78/5,658.60 = 1,308.38/x
  3. Step 3: Cross multiply
    3,773.78x = 5,658.60 × 1,308.38
  4. Step 4: Simplify right side
    3,773.78x = 7,403,599.07
  5. Step 5: Solve for x
    x = 7,403,599.07/3,773.78
  6. Step 6: Final answer
    x = 1,961.85

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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.