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Finding the Fourth Proportional to 3,755.49, 5,635.07 and 2,506.89

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Solution

The fourth proportional to 3,755.49, 5,635.07 and 2,506.89 is: 3,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.49 : 5,635.07 = 2,506.89 : x
  2. Step 2: Convert to fraction form
    3,755.49/5,635.07 = 2,506.89/x
  3. Step 3: Cross multiply
    3,755.49x = 5,635.07 × 2,506.89
  4. Step 4: Simplify right side
    3,755.49x = 14,126,488.10
  5. Step 5: Solve for x
    x = 14,126,488.10/3,755.49
  6. Step 6: Final answer
    x = 3,761.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.