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Finding the Fourth Proportional to 5,404.35, 7,450.59 and 3,413.91

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Solution

The fourth proportional to 5,404.35, 7,450.59 and 3,413.91 is: 4,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.35 : 7,450.59 = 3,413.91 : x
  2. Step 2: Convert to fraction form
    5,404.35/7,450.59 = 3,413.91/x
  3. Step 3: Cross multiply
    5,404.35x = 7,450.59 × 3,413.91
  4. Step 4: Simplify right side
    5,404.35x = 25,435,643.71
  5. Step 5: Solve for x
    x = 25,435,643.71/5,404.35
  6. Step 6: Final answer
    x = 4,706.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.