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Finding the Fourth Proportional to 3,400.30, 5,107.65 and 3,277.90

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Solution

The fourth proportional to 3,400.30, 5,107.65 and 3,277.90 is: 4,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.30 : 5,107.65 = 3,277.90 : x
  2. Step 2: Convert to fraction form
    3,400.30/5,107.65 = 3,277.90/x
  3. Step 3: Cross multiply
    3,400.30x = 5,107.65 × 3,277.90
  4. Step 4: Simplify right side
    3,400.30x = 16,742,365.94
  5. Step 5: Solve for x
    x = 16,742,365.94/3,400.30
  6. Step 6: Final answer
    x = 4,923.79

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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.