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Finding the Fourth Proportional to 3,729.57, 5,146.50 and 2,157.76

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Solution

The fourth proportional to 3,729.57, 5,146.50 and 2,157.76 is: 2,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.57 : 5,146.50 = 2,157.76 : x
  2. Step 2: Convert to fraction form
    3,729.57/5,146.50 = 2,157.76/x
  3. Step 3: Cross multiply
    3,729.57x = 5,146.50 × 2,157.76
  4. Step 4: Simplify right side
    3,729.57x = 11,104,911.84
  5. Step 5: Solve for x
    x = 11,104,911.84/3,729.57
  6. Step 6: Final answer
    x = 2,977.53

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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.