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Finding the Fourth Proportional to 5,022.56, 7,532.34 and 1,900.25

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Solution

The fourth proportional to 5,022.56, 7,532.34 and 1,900.25 is: 2,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.56 : 7,532.34 = 1,900.25 : x
  2. Step 2: Convert to fraction form
    5,022.56/7,532.34 = 1,900.25/x
  3. Step 3: Cross multiply
    5,022.56x = 7,532.34 × 1,900.25
  4. Step 4: Simplify right side
    5,022.56x = 14,313,291.42
  5. Step 5: Solve for x
    x = 14,313,291.42/5,022.56
  6. Step 6: Final answer
    x = 2,849.80

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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.