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Finding the Fourth Proportional to 3,620.96, 5,427.28 and 1,537.88

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Solution

The fourth proportional to 3,620.96, 5,427.28 and 1,537.88 is: 2,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.96 : 5,427.28 = 1,537.88 : x
  2. Step 2: Convert to fraction form
    3,620.96/5,427.28 = 1,537.88/x
  3. Step 3: Cross multiply
    3,620.96x = 5,427.28 × 1,537.88
  4. Step 4: Simplify right side
    3,620.96x = 8,346,505.37
  5. Step 5: Solve for x
    x = 8,346,505.37/3,620.96
  6. Step 6: Final answer
    x = 2,305.05

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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.