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Finding the Fourth Proportional to 3,770.55, 5,642.46 and 2,453.49

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Solution

The fourth proportional to 3,770.55, 5,642.46 and 2,453.49 is: 3,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.55 : 5,642.46 = 2,453.49 : x
  2. Step 2: Convert to fraction form
    3,770.55/5,642.46 = 2,453.49/x
  3. Step 3: Cross multiply
    3,770.55x = 5,642.46 × 2,453.49
  4. Step 4: Simplify right side
    3,770.55x = 13,843,719.19
  5. Step 5: Solve for x
    x = 13,843,719.19/3,770.55
  6. Step 6: Final answer
    x = 3,671.54

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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.