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Finding the Fourth Proportional to 5,413.09, 7,470.08 and 2,929.09

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Solution

The fourth proportional to 5,413.09, 7,470.08 and 2,929.09 is: 4,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.09 : 7,470.08 = 2,929.09 : x
  2. Step 2: Convert to fraction form
    5,413.09/7,470.08 = 2,929.09/x
  3. Step 3: Cross multiply
    5,413.09x = 7,470.08 × 2,929.09
  4. Step 4: Simplify right side
    5,413.09x = 21,880,536.63
  5. Step 5: Solve for x
    x = 21,880,536.63/5,413.09
  6. Step 6: Final answer
    x = 4,042.15

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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.