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Finding the Fourth Proportional to 3,419.49, 5,128.80 and 1,338.06

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Solution

The fourth proportional to 3,419.49, 5,128.80 and 1,338.06 is: 2,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.49 : 5,128.80 = 1,338.06 : x
  2. Step 2: Convert to fraction form
    3,419.49/5,128.80 = 1,338.06/x
  3. Step 3: Cross multiply
    3,419.49x = 5,128.80 × 1,338.06
  4. Step 4: Simplify right side
    3,419.49x = 6,862,642.13
  5. Step 5: Solve for x
    x = 6,862,642.13/3,419.49
  6. Step 6: Final answer
    x = 2,006.92

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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.