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Finding the Fourth Proportional to 3,946.95, 5,918.87 and 1,480.42

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Solution

The fourth proportional to 3,946.95, 5,918.87 and 1,480.42 is: 2,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.95 : 5,918.87 = 1,480.42 : x
  2. Step 2: Convert to fraction form
    3,946.95/5,918.87 = 1,480.42/x
  3. Step 3: Cross multiply
    3,946.95x = 5,918.87 × 1,480.42
  4. Step 4: Simplify right side
    3,946.95x = 8,762,413.53
  5. Step 5: Solve for x
    x = 8,762,413.53/3,946.95
  6. Step 6: Final answer
    x = 2,220.05

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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.