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Finding the Fourth Proportional to 3,354.36, 5,028.36 and 2,118

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Solution

The fourth proportional to 3,354.36, 5,028.36 and 2,118 is: 3,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.36 : 5,028.36 = 2,118 : x
  2. Step 2: Convert to fraction form
    3,354.36/5,028.36 = 2,118/x
  3. Step 3: Cross multiply
    3,354.36x = 5,028.36 × 2,118
  4. Step 4: Simplify right side
    3,354.36x = 10,650,066.48
  5. Step 5: Solve for x
    x = 10,650,066.48/3,354.36
  6. Step 6: Final answer
    x = 3,174.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.