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Finding the Fourth Proportional to 3,904.81, 5,383.04 and 2,783.81

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Solution

The fourth proportional to 3,904.81, 5,383.04 and 2,783.81 is: 3,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.81 : 5,383.04 = 2,783.81 : x
  2. Step 2: Convert to fraction form
    3,904.81/5,383.04 = 2,783.81/x
  3. Step 3: Cross multiply
    3,904.81x = 5,383.04 × 2,783.81
  4. Step 4: Simplify right side
    3,904.81x = 14,985,327.73
  5. Step 5: Solve for x
    x = 14,985,327.73/3,904.81
  6. Step 6: Final answer
    x = 3,837.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.