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Finding the Fourth Proportional to 3,848,436.80, 5,774,728.80 and 1,604,801.60

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Solution

The fourth proportional to 3,848,436.80, 5,774,728.80 and 1,604,801.60 is: 2,408,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848,436.80 : 5,774,728.80 = 1,604,801.60 : x
  2. Step 2: Convert to fraction form
    3,848,436.80/5,774,728.80 = 1,604,801.60/x
  3. Step 3: Cross multiply
    3,848,436.80x = 5,774,728.80 × 1,604,801.60
  4. Step 4: Simplify right side
    3,848,436.80x = 9,267,294,017,806.08
  5. Step 5: Solve for x
    x = 9,267,294,017,806.08/3,848,436.80
  6. Step 6: Final answer
    x = 2,408,067.09

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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.