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Finding the Fourth Proportional to 3,368.42, 5,051.38 and 1,419.56

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Solution

The fourth proportional to 3,368.42, 5,051.38 and 1,419.56 is: 2,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.42 : 5,051.38 = 1,419.56 : x
  2. Step 2: Convert to fraction form
    3,368.42/5,051.38 = 1,419.56/x
  3. Step 3: Cross multiply
    3,368.42x = 5,051.38 × 1,419.56
  4. Step 4: Simplify right side
    3,368.42x = 7,170,736.99
  5. Step 5: Solve for x
    x = 7,170,736.99/3,368.42
  6. Step 6: Final answer
    x = 2,128.81

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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.