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Finding the Fourth Proportional to 3,904.68, 5,383.62 and 3,155.88

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Solution

The fourth proportional to 3,904.68, 5,383.62 and 3,155.88 is: 4,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.68 : 5,383.62 = 3,155.88 : x
  2. Step 2: Convert to fraction form
    3,904.68/5,383.62 = 3,155.88/x
  3. Step 3: Cross multiply
    3,904.68x = 5,383.62 × 3,155.88
  4. Step 4: Simplify right side
    3,904.68x = 16,990,058.69
  5. Step 5: Solve for x
    x = 16,990,058.69/3,904.68
  6. Step 6: Final answer
    x = 4,351.20

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