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Finding the Fourth Proportional to 4,427.56, 6,642.06 and 1,832.32

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Solution

The fourth proportional to 4,427.56, 6,642.06 and 1,832.32 is: 2,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.56 : 6,642.06 = 1,832.32 : x
  2. Step 2: Convert to fraction form
    4,427.56/6,642.06 = 1,832.32/x
  3. Step 3: Cross multiply
    4,427.56x = 6,642.06 × 1,832.32
  4. Step 4: Simplify right side
    4,427.56x = 12,170,379.38
  5. Step 5: Solve for x
    x = 12,170,379.38/4,427.56
  6. Step 6: Final answer
    x = 2,748.78

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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.