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Finding the Fourth Proportional to 5,034.36, 7,551.54 and 1,524.36

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Solution

The fourth proportional to 5,034.36, 7,551.54 and 1,524.36 is: 2,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.36 : 7,551.54 = 1,524.36 : x
  2. Step 2: Convert to fraction form
    5,034.36/7,551.54 = 1,524.36/x
  3. Step 3: Cross multiply
    5,034.36x = 7,551.54 × 1,524.36
  4. Step 4: Simplify right side
    5,034.36x = 11,511,265.51
  5. Step 5: Solve for x
    x = 11,511,265.51/5,034.36
  6. Step 6: Final answer
    x = 2,286.54

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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.