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Finding the Fourth Proportional to 3,406.72, 5,107.29 and 1,214.20

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Solution

The fourth proportional to 3,406.72, 5,107.29 and 1,214.20 is: 1,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.72 : 5,107.29 = 1,214.20 : x
  2. Step 2: Convert to fraction form
    3,406.72/5,107.29 = 1,214.20/x
  3. Step 3: Cross multiply
    3,406.72x = 5,107.29 × 1,214.20
  4. Step 4: Simplify right side
    3,406.72x = 6,201,271.52
  5. Step 5: Solve for x
    x = 6,201,271.52/3,406.72
  6. Step 6: Final answer
    x = 1,820.31

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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.