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Finding the Fourth Proportional to 3,980.71, 5,494.08 and 2,301.85

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Solution

The fourth proportional to 3,980.71, 5,494.08 and 2,301.85 is: 3,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.71 : 5,494.08 = 2,301.85 : x
  2. Step 2: Convert to fraction form
    3,980.71/5,494.08 = 2,301.85/x
  3. Step 3: Cross multiply
    3,980.71x = 5,494.08 × 2,301.85
  4. Step 4: Simplify right side
    3,980.71x = 12,646,548.05
  5. Step 5: Solve for x
    x = 12,646,548.05/3,980.71
  6. Step 6: Final answer
    x = 3,176.96

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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.