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Finding the Fourth Proportional to 4,900.96, 6,765.64 and 2,804.68

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Solution

The fourth proportional to 4,900.96, 6,765.64 and 2,804.68 is: 3,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.96 : 6,765.64 = 2,804.68 : x
  2. Step 2: Convert to fraction form
    4,900.96/6,765.64 = 2,804.68/x
  3. Step 3: Cross multiply
    4,900.96x = 6,765.64 × 2,804.68
  4. Step 4: Simplify right side
    4,900.96x = 18,975,455.20
  5. Step 5: Solve for x
    x = 18,975,455.20/4,900.96
  6. Step 6: Final answer
    x = 3,871.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.