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Finding the Fourth Proportional to 3,832.06, 5,752.14 and 1,885.63

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Solution

The fourth proportional to 3,832.06, 5,752.14 and 1,885.63 is: 2,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.06 : 5,752.14 = 1,885.63 : x
  2. Step 2: Convert to fraction form
    3,832.06/5,752.14 = 1,885.63/x
  3. Step 3: Cross multiply
    3,832.06x = 5,752.14 × 1,885.63
  4. Step 4: Simplify right side
    3,832.06x = 10,846,407.75
  5. Step 5: Solve for x
    x = 10,846,407.75/3,832.06
  6. Step 6: Final answer
    x = 2,830.44

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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.