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Finding the Fourth Proportional to 3,422.34, 5,125.21 and 1,957.05

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Solution

The fourth proportional to 3,422.34, 5,125.21 and 1,957.05 is: 2,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.34 : 5,125.21 = 1,957.05 : x
  2. Step 2: Convert to fraction form
    3,422.34/5,125.21 = 1,957.05/x
  3. Step 3: Cross multiply
    3,422.34x = 5,125.21 × 1,957.05
  4. Step 4: Simplify right side
    3,422.34x = 10,030,292.23
  5. Step 5: Solve for x
    x = 10,030,292.23/3,422.34
  6. Step 6: Final answer
    x = 2,930.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.