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Finding the Fourth Proportional to 3,414.97, 4,710.36 and 2,157.63

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Solution

The fourth proportional to 3,414.97, 4,710.36 and 2,157.63 is: 2,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.97 : 4,710.36 = 2,157.63 : x
  2. Step 2: Convert to fraction form
    3,414.97/4,710.36 = 2,157.63/x
  3. Step 3: Cross multiply
    3,414.97x = 4,710.36 × 2,157.63
  4. Step 4: Simplify right side
    3,414.97x = 10,163,214.05
  5. Step 5: Solve for x
    x = 10,163,214.05/3,414.97
  6. Step 6: Final answer
    x = 2,976.08

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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.