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Finding the Fourth Proportional to 3,412.16, 4,708.22 and 2,294.96

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Solution

The fourth proportional to 3,412.16, 4,708.22 and 2,294.96 is: 3,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.16 : 4,708.22 = 2,294.96 : x
  2. Step 2: Convert to fraction form
    3,412.16/4,708.22 = 2,294.96/x
  3. Step 3: Cross multiply
    3,412.16x = 4,708.22 × 2,294.96
  4. Step 4: Simplify right side
    3,412.16x = 10,805,176.87
  5. Step 5: Solve for x
    x = 10,805,176.87/3,412.16
  6. Step 6: Final answer
    x = 3,166.67

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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.