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Finding the Fourth Proportional to 3,680.80, 5,521.16 and 907.49

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Solution

The fourth proportional to 3,680.80, 5,521.16 and 907.49 is: 1,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.80 : 5,521.16 = 907.49 : x
  2. Step 2: Convert to fraction form
    3,680.80/5,521.16 = 907.49/x
  3. Step 3: Cross multiply
    3,680.80x = 5,521.16 × 907.49
  4. Step 4: Simplify right side
    3,680.80x = 5,010,413.56
  5. Step 5: Solve for x
    x = 5,010,413.56/3,680.80
  6. Step 6: Final answer
    x = 1,361.23

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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.