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Finding the Fourth Proportional to 3,603.06, 5,402.73 and 1,137.42

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Solution

The fourth proportional to 3,603.06, 5,402.73 and 1,137.42 is: 1,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.06 : 5,402.73 = 1,137.42 : x
  2. Step 2: Convert to fraction form
    3,603.06/5,402.73 = 1,137.42/x
  3. Step 3: Cross multiply
    3,603.06x = 5,402.73 × 1,137.42
  4. Step 4: Simplify right side
    3,603.06x = 6,145,173.16
  5. Step 5: Solve for x
    x = 6,145,173.16/3,603.06
  6. Step 6: Final answer
    x = 1,705.54

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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.