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Finding the Fourth Proportional to 3,841.53, 5,297.78 and 2,563.16

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Solution

The fourth proportional to 3,841.53, 5,297.78 and 2,563.16 is: 3,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.53 : 5,297.78 = 2,563.16 : x
  2. Step 2: Convert to fraction form
    3,841.53/5,297.78 = 2,563.16/x
  3. Step 3: Cross multiply
    3,841.53x = 5,297.78 × 2,563.16
  4. Step 4: Simplify right side
    3,841.53x = 13,579,037.94
  5. Step 5: Solve for x
    x = 13,579,037.94/3,841.53
  6. Step 6: Final answer
    x = 3,534.80

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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.