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Finding the Fourth Proportional to 4,562.84, 6,297.14 and 2,573.56

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Solution

The fourth proportional to 4,562.84, 6,297.14 and 2,573.56 is: 3,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.84 : 6,297.14 = 2,573.56 : x
  2. Step 2: Convert to fraction form
    4,562.84/6,297.14 = 2,573.56/x
  3. Step 3: Cross multiply
    4,562.84x = 6,297.14 × 2,573.56
  4. Step 4: Simplify right side
    4,562.84x = 16,206,067.62
  5. Step 5: Solve for x
    x = 16,206,067.62/4,562.84
  6. Step 6: Final answer
    x = 3,551.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.