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Finding the Fourth Proportional to 3,855.33, 5,783.00 and 933.63

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Solution

The fourth proportional to 3,855.33, 5,783.00 and 933.63 is: 1,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.33 : 5,783.00 = 933.63 : x
  2. Step 2: Convert to fraction form
    3,855.33/5,783.00 = 933.63/x
  3. Step 3: Cross multiply
    3,855.33x = 5,783.00 × 933.63
  4. Step 4: Simplify right side
    3,855.33x = 5,399,177.62
  5. Step 5: Solve for x
    x = 5,399,177.62/3,855.33
  6. Step 6: Final answer
    x = 1,400.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.