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Finding the Fourth Proportional to 4,943.84, 7,413.05 and 2,019.74

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Solution

The fourth proportional to 4,943.84, 7,413.05 and 2,019.74 is: 3,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.84 : 7,413.05 = 2,019.74 : x
  2. Step 2: Convert to fraction form
    4,943.84/7,413.05 = 2,019.74/x
  3. Step 3: Cross multiply
    4,943.84x = 7,413.05 × 2,019.74
  4. Step 4: Simplify right side
    4,943.84x = 14,972,401.59
  5. Step 5: Solve for x
    x = 14,972,401.59/4,943.84
  6. Step 6: Final answer
    x = 3,028.50

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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.