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Finding the Fourth Proportional to 5,413.67, 7,470.89 and 2,929.67

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Solution

The fourth proportional to 5,413.67, 7,470.89 and 2,929.67 is: 4,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.67 : 7,470.89 = 2,929.67 : x
  2. Step 2: Convert to fraction form
    5,413.67/7,470.89 = 2,929.67/x
  3. Step 3: Cross multiply
    5,413.67x = 7,470.89 × 2,929.67
  4. Step 4: Simplify right side
    5,413.67x = 21,887,242.31
  5. Step 5: Solve for x
    x = 21,887,242.31/5,413.67
  6. Step 6: Final answer
    x = 4,042.96

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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.