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Finding the Fourth Proportional to 3,983.32, 5,973.78 and 1,902.25

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Solution

The fourth proportional to 3,983.32, 5,973.78 and 1,902.25 is: 2,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.32 : 5,973.78 = 1,902.25 : x
  2. Step 2: Convert to fraction form
    3,983.32/5,973.78 = 1,902.25/x
  3. Step 3: Cross multiply
    3,983.32x = 5,973.78 × 1,902.25
  4. Step 4: Simplify right side
    3,983.32x = 11,363,623.01
  5. Step 5: Solve for x
    x = 11,363,623.01/3,983.32
  6. Step 6: Final answer
    x = 2,852.80

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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.