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Finding the Fourth Proportional to 3,603.40, 5,413.20 and 3,465.70

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Solution

The fourth proportional to 3,603.40, 5,413.20 and 3,465.70 is: 5,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.40 : 5,413.20 = 3,465.70 : x
  2. Step 2: Convert to fraction form
    3,603.40/5,413.20 = 3,465.70/x
  3. Step 3: Cross multiply
    3,603.40x = 5,413.20 × 3,465.70
  4. Step 4: Simplify right side
    3,603.40x = 18,760,527.24
  5. Step 5: Solve for x
    x = 18,760,527.24/3,603.40
  6. Step 6: Final answer
    x = 5,206.34

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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.