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Finding the Fourth Proportional to 4,413.67, 6,616.32 and 1,638.45

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Solution

The fourth proportional to 4,413.67, 6,616.32 and 1,638.45 is: 2,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.67 : 6,616.32 = 1,638.45 : x
  2. Step 2: Convert to fraction form
    4,413.67/6,616.32 = 1,638.45/x
  3. Step 3: Cross multiply
    4,413.67x = 6,616.32 × 1,638.45
  4. Step 4: Simplify right side
    4,413.67x = 10,840,509.50
  5. Step 5: Solve for x
    x = 10,840,509.50/4,413.67
  6. Step 6: Final answer
    x = 2,456.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.