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Finding the Fourth Proportional to 3,405.09, 5,108.04 and 1,214.04

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Solution

The fourth proportional to 3,405.09, 5,108.04 and 1,214.04 is: 1,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.09 : 5,108.04 = 1,214.04 : x
  2. Step 2: Convert to fraction form
    3,405.09/5,108.04 = 1,214.04/x
  3. Step 3: Cross multiply
    3,405.09x = 5,108.04 × 1,214.04
  4. Step 4: Simplify right side
    3,405.09x = 6,201,364.88
  5. Step 5: Solve for x
    x = 6,201,364.88/3,405.09
  6. Step 6: Final answer
    x = 1,821.20

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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.