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Finding the Fourth Proportional to 3,423.14, 4,712.51 and 3,266.41

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Solution

The fourth proportional to 3,423.14, 4,712.51 and 3,266.41 is: 4,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.14 : 4,712.51 = 3,266.41 : x
  2. Step 2: Convert to fraction form
    3,423.14/4,712.51 = 3,266.41/x
  3. Step 3: Cross multiply
    3,423.14x = 4,712.51 × 3,266.41
  4. Step 4: Simplify right side
    3,423.14x = 15,392,949.89
  5. Step 5: Solve for x
    x = 15,392,949.89/3,423.14
  6. Step 6: Final answer
    x = 4,496.73

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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.