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Finding the Fourth Proportional to 3,768.93, 5,651.91 and 1,135.62

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Solution

The fourth proportional to 3,768.93, 5,651.91 and 1,135.62 is: 1,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.93 : 5,651.91 = 1,135.62 : x
  2. Step 2: Convert to fraction form
    3,768.93/5,651.91 = 1,135.62/x
  3. Step 3: Cross multiply
    3,768.93x = 5,651.91 × 1,135.62
  4. Step 4: Simplify right side
    3,768.93x = 6,418,422.03
  5. Step 5: Solve for x
    x = 6,418,422.03/3,768.93
  6. Step 6: Final answer
    x = 1,702.98

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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.