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Finding the Fourth Proportional to 4,241.64, 5,854.08 and 2,563.29

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Solution

The fourth proportional to 4,241.64, 5,854.08 and 2,563.29 is: 3,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.64 : 5,854.08 = 2,563.29 : x
  2. Step 2: Convert to fraction form
    4,241.64/5,854.08 = 2,563.29/x
  3. Step 3: Cross multiply
    4,241.64x = 5,854.08 × 2,563.29
  4. Step 4: Simplify right side
    4,241.64x = 15,005,704.72
  5. Step 5: Solve for x
    x = 15,005,704.72/4,241.64
  6. Step 6: Final answer
    x = 3,537.71

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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.