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Finding the Fourth Proportional to 3,533.41, 4,874 and 2,413.79

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Solution

The fourth proportional to 3,533.41, 4,874 and 2,413.79 is: 3,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.41 : 4,874 = 2,413.79 : x
  2. Step 2: Convert to fraction form
    3,533.41/4,874 = 2,413.79/x
  3. Step 3: Cross multiply
    3,533.41x = 4,874 × 2,413.79
  4. Step 4: Simplify right side
    3,533.41x = 11,764,812.46
  5. Step 5: Solve for x
    x = 11,764,812.46/3,533.41
  6. Step 6: Final answer
    x = 3,329.59

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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.