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Finding the Fourth Proportional to 3,755.98, 5,182.27 and 2,558.80

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Solution

The fourth proportional to 3,755.98, 5,182.27 and 2,558.80 is: 3,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.98 : 5,182.27 = 2,558.80 : x
  2. Step 2: Convert to fraction form
    3,755.98/5,182.27 = 2,558.80/x
  3. Step 3: Cross multiply
    3,755.98x = 5,182.27 × 2,558.80
  4. Step 4: Simplify right side
    3,755.98x = 13,260,392.48
  5. Step 5: Solve for x
    x = 13,260,392.48/3,755.98
  6. Step 6: Final answer
    x = 3,530.47

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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.