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Finding the Fourth Proportional to 3,755.40, 5,204.37 and 3,702.56

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Solution

The fourth proportional to 3,755.40, 5,204.37 and 3,702.56 is: 5,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.40 : 5,204.37 = 3,702.56 : x
  2. Step 2: Convert to fraction form
    3,755.40/5,204.37 = 3,702.56/x
  3. Step 3: Cross multiply
    3,755.40x = 5,204.37 × 3,702.56
  4. Step 4: Simplify right side
    3,755.40x = 19,269,466.17
  5. Step 5: Solve for x
    x = 19,269,466.17/3,755.40
  6. Step 6: Final answer
    x = 5,131.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.