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Finding the Fourth Proportional to 4,552.70, 6,282.74 and 2,563.25

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Solution

The fourth proportional to 4,552.70, 6,282.74 and 2,563.25 is: 3,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.70 : 6,282.74 = 2,563.25 : x
  2. Step 2: Convert to fraction form
    4,552.70/6,282.74 = 2,563.25/x
  3. Step 3: Cross multiply
    4,552.70x = 6,282.74 × 2,563.25
  4. Step 4: Simplify right side
    4,552.70x = 16,104,220.49
  5. Step 5: Solve for x
    x = 16,104,220.49/4,552.70
  6. Step 6: Final answer
    x = 3,537.29

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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.