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Finding the Fourth Proportional to 4,552.86, 6,283.04 and 2,563.64

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Solution

The fourth proportional to 4,552.86, 6,283.04 and 2,563.64 is: 3,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.86 : 6,283.04 = 2,563.64 : x
  2. Step 2: Convert to fraction form
    4,552.86/6,283.04 = 2,563.64/x
  3. Step 3: Cross multiply
    4,552.86x = 6,283.04 × 2,563.64
  4. Step 4: Simplify right side
    4,552.86x = 16,107,452.67
  5. Step 5: Solve for x
    x = 16,107,452.67/4,552.86
  6. Step 6: Final answer
    x = 3,537.88

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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.