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Finding the Fourth Proportional to 3,421.71, 4,723.16 and 2,005.88

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Solution

The fourth proportional to 3,421.71, 4,723.16 and 2,005.88 is: 2,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.71 : 4,723.16 = 2,005.88 : x
  2. Step 2: Convert to fraction form
    3,421.71/4,723.16 = 2,005.88/x
  3. Step 3: Cross multiply
    3,421.71x = 4,723.16 × 2,005.88
  4. Step 4: Simplify right side
    3,421.71x = 9,474,058.54
  5. Step 5: Solve for x
    x = 9,474,058.54/3,421.71
  6. Step 6: Final answer
    x = 2,768.81

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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.