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Finding the Fourth Proportional to 3,404.09, 5,102.49 and 1,212.10

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Solution

The fourth proportional to 3,404.09, 5,102.49 and 1,212.10 is: 1,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.09 : 5,102.49 = 1,212.10 : x
  2. Step 2: Convert to fraction form
    3,404.09/5,102.49 = 1,212.10/x
  3. Step 3: Cross multiply
    3,404.09x = 5,102.49 × 1,212.10
  4. Step 4: Simplify right side
    3,404.09x = 6,184,728.13
  5. Step 5: Solve for x
    x = 6,184,728.13/3,404.09
  6. Step 6: Final answer
    x = 1,816.85

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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.