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Finding the Fourth Proportional to 3,157.11, 4,729.05 and 2,537.46

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Solution

The fourth proportional to 3,157.11, 4,729.05 and 2,537.46 is: 3,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.11 : 4,729.05 = 2,537.46 : x
  2. Step 2: Convert to fraction form
    3,157.11/4,729.05 = 2,537.46/x
  3. Step 3: Cross multiply
    3,157.11x = 4,729.05 × 2,537.46
  4. Step 4: Simplify right side
    3,157.11x = 11,999,775.21
  5. Step 5: Solve for x
    x = 11,999,775.21/3,157.11
  6. Step 6: Final answer
    x = 3,800.87

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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.