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Finding the Fourth Proportional to 3,884.16, 5,358.96 and 3,509.94

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Solution

The fourth proportional to 3,884.16, 5,358.96 and 3,509.94 is: 4,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.16 : 5,358.96 = 3,509.94 : x
  2. Step 2: Convert to fraction form
    3,884.16/5,358.96 = 3,509.94/x
  3. Step 3: Cross multiply
    3,884.16x = 5,358.96 × 3,509.94
  4. Step 4: Simplify right side
    3,884.16x = 18,809,628.06
  5. Step 5: Solve for x
    x = 18,809,628.06/3,884.16
  6. Step 6: Final answer
    x = 4,842.65

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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.