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Finding the Fourth Proportional to 5,413.14, 7,470.12 and 2,929.14

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Solution

The fourth proportional to 5,413.14, 7,470.12 and 2,929.14 is: 4,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.14 : 7,470.12 = 2,929.14 : x
  2. Step 2: Convert to fraction form
    5,413.14/7,470.12 = 2,929.14/x
  3. Step 3: Cross multiply
    5,413.14x = 7,470.12 × 2,929.14
  4. Step 4: Simplify right side
    5,413.14x = 21,881,027.30
  5. Step 5: Solve for x
    x = 21,881,027.30/5,413.14
  6. Step 6: Final answer
    x = 4,042.21

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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.