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Finding the Fourth Proportional to 3,412.28, 4,708.93 and 1,920.21

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Solution

The fourth proportional to 3,412.28, 4,708.93 and 1,920.21 is: 2,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.28 : 4,708.93 = 1,920.21 : x
  2. Step 2: Convert to fraction form
    3,412.28/4,708.93 = 1,920.21/x
  3. Step 3: Cross multiply
    3,412.28x = 4,708.93 × 1,920.21
  4. Step 4: Simplify right side
    3,412.28x = 9,042,124.87
  5. Step 5: Solve for x
    x = 9,042,124.87/3,412.28
  6. Step 6: Final answer
    x = 2,649.88

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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.