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Finding the Fourth Proportional to 3,848.49, 5,773.77 and 1,383.93

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Solution

The fourth proportional to 3,848.49, 5,773.77 and 1,383.93 is: 2,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.49 : 5,773.77 = 1,383.93 : x
  2. Step 2: Convert to fraction form
    3,848.49/5,773.77 = 1,383.93/x
  3. Step 3: Cross multiply
    3,848.49x = 5,773.77 × 1,383.93
  4. Step 4: Simplify right side
    3,848.49x = 7,990,493.52
  5. Step 5: Solve for x
    x = 7,990,493.52/3,848.49
  6. Step 6: Final answer
    x = 2,076.27

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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.