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Finding the Fourth Proportional to 4,941.94, 7,413.72 and 2,019.46

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Solution

The fourth proportional to 4,941.94, 7,413.72 and 2,019.46 is: 3,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.94 : 7,413.72 = 2,019.46 : x
  2. Step 2: Convert to fraction form
    4,941.94/7,413.72 = 2,019.46/x
  3. Step 3: Cross multiply
    4,941.94x = 7,413.72 × 2,019.46
  4. Step 4: Simplify right side
    4,941.94x = 14,971,710.99
  5. Step 5: Solve for x
    x = 14,971,710.99/4,941.94
  6. Step 6: Final answer
    x = 3,029.52

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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.