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Finding the Fourth Proportional to 4,563.25, 6,297.24 and 2,573.82

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Solution

The fourth proportional to 4,563.25, 6,297.24 and 2,573.82 is: 3,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.25 : 6,297.24 = 2,573.82 : x
  2. Step 2: Convert to fraction form
    4,563.25/6,297.24 = 2,573.82/x
  3. Step 3: Cross multiply
    4,563.25x = 6,297.24 × 2,573.82
  4. Step 4: Simplify right side
    4,563.25x = 16,207,962.26
  5. Step 5: Solve for x
    x = 16,207,962.26/4,563.25
  6. Step 6: Final answer
    x = 3,551.85

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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.