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Finding the Fourth Proportional to 3,400.59, 5,101.28 and 1,209.54

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Solution

The fourth proportional to 3,400.59, 5,101.28 and 1,209.54 is: 1,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.59 : 5,101.28 = 1,209.54 : x
  2. Step 2: Convert to fraction form
    3,400.59/5,101.28 = 1,209.54/x
  3. Step 3: Cross multiply
    3,400.59x = 5,101.28 × 1,209.54
  4. Step 4: Simplify right side
    3,400.59x = 6,170,202.21
  5. Step 5: Solve for x
    x = 6,170,202.21/3,400.59
  6. Step 6: Final answer
    x = 1,814.45

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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.