Home / 3,413.69-5,121.12-1,564.96

Finding the Fourth Proportional to 3,413.69, 5,121.12 and 1,564.96

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Solution

The fourth proportional to 3,413.69, 5,121.12 and 1,564.96 is: 2,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.69 : 5,121.12 = 1,564.96 : x
  2. Step 2: Convert to fraction form
    3,413.69/5,121.12 = 1,564.96/x
  3. Step 3: Cross multiply
    3,413.69x = 5,121.12 × 1,564.96
  4. Step 4: Simplify right side
    3,413.69x = 8,014,349.72
  5. Step 5: Solve for x
    x = 8,014,349.72/3,413.69
  6. Step 6: Final answer
    x = 2,347.71

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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.