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Finding the Fourth Proportional to 3,400.63, 5,101.03 and 1,209.53

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Solution

The fourth proportional to 3,400.63, 5,101.03 and 1,209.53 is: 1,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.63 : 5,101.03 = 1,209.53 : x
  2. Step 2: Convert to fraction form
    3,400.63/5,101.03 = 1,209.53/x
  3. Step 3: Cross multiply
    3,400.63x = 5,101.03 × 1,209.53
  4. Step 4: Simplify right side
    3,400.63x = 6,169,856.28
  5. Step 5: Solve for x
    x = 6,169,856.28/3,400.63
  6. Step 6: Final answer
    x = 1,814.33

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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.