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Finding the Fourth Proportional to 3,603.63, 5,402.22 and 1,413.89

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Solution

The fourth proportional to 3,603.63, 5,402.22 and 1,413.89 is: 2,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.63 : 5,402.22 = 1,413.89 : x
  2. Step 2: Convert to fraction form
    3,603.63/5,402.22 = 1,413.89/x
  3. Step 3: Cross multiply
    3,603.63x = 5,402.22 × 1,413.89
  4. Step 4: Simplify right side
    3,603.63x = 7,638,117.82
  5. Step 5: Solve for x
    x = 7,638,117.82/3,603.63
  6. Step 6: Final answer
    x = 2,119.56

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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.