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Finding the Fourth Proportional to 3,733.56, 5,150.16 and 3,453.60

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Solution

The fourth proportional to 3,733.56, 5,150.16 and 3,453.60 is: 4,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.56 : 5,150.16 = 3,453.60 : x
  2. Step 2: Convert to fraction form
    3,733.56/5,150.16 = 3,453.60/x
  3. Step 3: Cross multiply
    3,733.56x = 5,150.16 × 3,453.60
  4. Step 4: Simplify right side
    3,733.56x = 17,786,592.58
  5. Step 5: Solve for x
    x = 17,786,592.58/3,733.56
  6. Step 6: Final answer
    x = 4,763.98

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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.