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Finding the Fourth Proportional to 3,406.60, 5,109.90 and 1,214.56

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Solution

The fourth proportional to 3,406.60, 5,109.90 and 1,214.56 is: 1,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.60 : 5,109.90 = 1,214.56 : x
  2. Step 2: Convert to fraction form
    3,406.60/5,109.90 = 1,214.56/x
  3. Step 3: Cross multiply
    3,406.60x = 5,109.90 × 1,214.56
  4. Step 4: Simplify right side
    3,406.60x = 6,206,280.14
  5. Step 5: Solve for x
    x = 6,206,280.14/3,406.60
  6. Step 6: Final answer
    x = 1,821.84

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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.