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Finding the Fourth Proportional to 3,978,692.93, 5,969,203.98 and 1,282,963.93

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Solution

The fourth proportional to 3,978,692.93, 5,969,203.98 and 1,282,963.93 is: 1,924,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978,692.93 : 5,969,203.98 = 1,282,963.93 : x
  2. Step 2: Convert to fraction form
    3,978,692.93/5,969,203.98 = 1,282,963.93/x
  3. Step 3: Cross multiply
    3,978,692.93x = 5,969,203.98 × 1,282,963.93
  4. Step 4: Simplify right side
    3,978,692.93x = 7,658,273,377,418.32
  5. Step 5: Solve for x
    x = 7,658,273,377,418.32/3,978,692.93
  6. Step 6: Final answer
    x = 1,924,821.42

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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.