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Finding the Fourth Proportional to 3,406.40, 5,109.68 and 1,215.14

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Solution

The fourth proportional to 3,406.40, 5,109.68 and 1,215.14 is: 1,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.40 : 5,109.68 = 1,215.14 : x
  2. Step 2: Convert to fraction form
    3,406.40/5,109.68 = 1,215.14/x
  3. Step 3: Cross multiply
    3,406.40x = 5,109.68 × 1,215.14
  4. Step 4: Simplify right side
    3,406.40x = 6,208,976.56
  5. Step 5: Solve for x
    x = 6,208,976.56/3,406.40
  6. Step 6: Final answer
    x = 1,822.74

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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.