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Finding the Fourth Proportional to 5,157.32, 7,733.22 and 2,037.20

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Solution

The fourth proportional to 5,157.32, 7,733.22 and 2,037.20 is: 3,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.32 : 7,733.22 = 2,037.20 : x
  2. Step 2: Convert to fraction form
    5,157.32/7,733.22 = 2,037.20/x
  3. Step 3: Cross multiply
    5,157.32x = 7,733.22 × 2,037.20
  4. Step 4: Simplify right side
    5,157.32x = 15,754,115.78
  5. Step 5: Solve for x
    x = 15,754,115.78/5,157.32
  6. Step 6: Final answer
    x = 3,054.71

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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.