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Finding the Fourth Proportional to 4,885.76, 7,327.94 and 1,765.32

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Solution

The fourth proportional to 4,885.76, 7,327.94 and 1,765.32 is: 2,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.76 : 7,327.94 = 1,765.32 : x
  2. Step 2: Convert to fraction form
    4,885.76/7,327.94 = 1,765.32/x
  3. Step 3: Cross multiply
    4,885.76x = 7,327.94 × 1,765.32
  4. Step 4: Simplify right side
    4,885.76x = 12,936,150.21
  5. Step 5: Solve for x
    x = 12,936,150.21/4,885.76
  6. Step 6: Final answer
    x = 2,647.73

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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.