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Finding the Fourth Proportional to 3,603.09, 5,403.86 and 1,138.11

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Solution

The fourth proportional to 3,603.09, 5,403.86 and 1,138.11 is: 1,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.09 : 5,403.86 = 1,138.11 : x
  2. Step 2: Convert to fraction form
    3,603.09/5,403.86 = 1,138.11/x
  3. Step 3: Cross multiply
    3,603.09x = 5,403.86 × 1,138.11
  4. Step 4: Simplify right side
    3,603.09x = 6,150,187.10
  5. Step 5: Solve for x
    x = 6,150,187.10/3,603.09
  6. Step 6: Final answer
    x = 1,706.92

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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.