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Finding the Fourth Proportional to 3,542.46, 5,323.28 and 1,900.18

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Solution

The fourth proportional to 3,542.46, 5,323.28 and 1,900.18 is: 2,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.46 : 5,323.28 = 1,900.18 : x
  2. Step 2: Convert to fraction form
    3,542.46/5,323.28 = 1,900.18/x
  3. Step 3: Cross multiply
    3,542.46x = 5,323.28 × 1,900.18
  4. Step 4: Simplify right side
    3,542.46x = 10,115,187.34
  5. Step 5: Solve for x
    x = 10,115,187.34/3,542.46
  6. Step 6: Final answer
    x = 2,855.42

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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.