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Finding the Fourth Proportional to 3,421.94, 4,717.94 and 2,301.12

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Solution

The fourth proportional to 3,421.94, 4,717.94 and 2,301.12 is: 3,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.94 : 4,717.94 = 2,301.12 : x
  2. Step 2: Convert to fraction form
    3,421.94/4,717.94 = 2,301.12/x
  3. Step 3: Cross multiply
    3,421.94x = 4,717.94 × 2,301.12
  4. Step 4: Simplify right side
    3,421.94x = 10,856,546.09
  5. Step 5: Solve for x
    x = 10,856,546.09/3,421.94
  6. Step 6: Final answer
    x = 3,172.63

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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.