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Finding the Fourth Proportional to 3,409.70, 4,700.44 and 2,257.96

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Solution

The fourth proportional to 3,409.70, 4,700.44 and 2,257.96 is: 3,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.70 : 4,700.44 = 2,257.96 : x
  2. Step 2: Convert to fraction form
    3,409.70/4,700.44 = 2,257.96/x
  3. Step 3: Cross multiply
    3,409.70x = 4,700.44 × 2,257.96
  4. Step 4: Simplify right side
    3,409.70x = 10,613,428.39
  5. Step 5: Solve for x
    x = 10,613,428.39/3,409.70
  6. Step 6: Final answer
    x = 3,112.72

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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.