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Finding the Fourth Proportional to 3,020.73, 4,523.78 and 1,536.05

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Solution

The fourth proportional to 3,020.73, 4,523.78 and 1,536.05 is: 2,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.73 : 4,523.78 = 1,536.05 : x
  2. Step 2: Convert to fraction form
    3,020.73/4,523.78 = 1,536.05/x
  3. Step 3: Cross multiply
    3,020.73x = 4,523.78 × 1,536.05
  4. Step 4: Simplify right side
    3,020.73x = 6,948,752.27
  5. Step 5: Solve for x
    x = 6,948,752.27/3,020.73
  6. Step 6: Final answer
    x = 2,300.36

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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.