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Finding the Fourth Proportional to 4,491.32, 6,738.04 and 1,413.32

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Solution

The fourth proportional to 4,491.32, 6,738.04 and 1,413.32 is: 2,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.32 : 6,738.04 = 1,413.32 : x
  2. Step 2: Convert to fraction form
    4,491.32/6,738.04 = 1,413.32/x
  3. Step 3: Cross multiply
    4,491.32x = 6,738.04 × 1,413.32
  4. Step 4: Simplify right side
    4,491.32x = 9,523,006.69
  5. Step 5: Solve for x
    x = 9,523,006.69/4,491.32
  6. Step 6: Final answer
    x = 2,120.31

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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.