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Finding the Fourth Proportional to 3,604.32, 5,404.14 and 1,413.27

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Solution

The fourth proportional to 3,604.32, 5,404.14 and 1,413.27 is: 2,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.32 : 5,404.14 = 1,413.27 : x
  2. Step 2: Convert to fraction form
    3,604.32/5,404.14 = 1,413.27/x
  3. Step 3: Cross multiply
    3,604.32x = 5,404.14 × 1,413.27
  4. Step 4: Simplify right side
    3,604.32x = 7,637,481.92
  5. Step 5: Solve for x
    x = 7,637,481.92/3,604.32
  6. Step 6: Final answer
    x = 2,118.98

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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.