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Finding the Fourth Proportional to 3,736.57, 5,603.54 and 1,103.37

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Solution

The fourth proportional to 3,736.57, 5,603.54 and 1,103.37 is: 1,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.57 : 5,603.54 = 1,103.37 : x
  2. Step 2: Convert to fraction form
    3,736.57/5,603.54 = 1,103.37/x
  3. Step 3: Cross multiply
    3,736.57x = 5,603.54 × 1,103.37
  4. Step 4: Simplify right side
    3,736.57x = 6,182,772.41
  5. Step 5: Solve for x
    x = 6,182,772.41/3,736.57
  6. Step 6: Final answer
    x = 1,654.67

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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.