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Finding the Fourth Proportional to 4,563.64, 6,297.91 and 2,573.80

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Solution

The fourth proportional to 4,563.64, 6,297.91 and 2,573.80 is: 3,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.64 : 6,297.91 = 2,573.80 : x
  2. Step 2: Convert to fraction form
    4,563.64/6,297.91 = 2,573.80/x
  3. Step 3: Cross multiply
    4,563.64x = 6,297.91 × 2,573.80
  4. Step 4: Simplify right side
    4,563.64x = 16,209,560.76
  5. Step 5: Solve for x
    x = 16,209,560.76/4,563.64
  6. Step 6: Final answer
    x = 3,551.89

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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.