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Finding the Fourth Proportional to 5,413.25, 7,470.29 and 2,929.25

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Solution

The fourth proportional to 5,413.25, 7,470.29 and 2,929.25 is: 4,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.25 : 7,470.29 = 2,929.25 : x
  2. Step 2: Convert to fraction form
    5,413.25/7,470.29 = 2,929.25/x
  3. Step 3: Cross multiply
    5,413.25x = 7,470.29 × 2,929.25
  4. Step 4: Simplify right side
    5,413.25x = 21,882,346.98
  5. Step 5: Solve for x
    x = 21,882,346.98/5,413.25
  6. Step 6: Final answer
    x = 4,042.37

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Why These Related Problems?

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