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Finding the Fourth Proportional to 3,419.25, 5,128.98 and 1,079.28

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Solution

The fourth proportional to 3,419.25, 5,128.98 and 1,079.28 is: 1,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.25 : 5,128.98 = 1,079.28 : x
  2. Step 2: Convert to fraction form
    3,419.25/5,128.98 = 1,079.28/x
  3. Step 3: Cross multiply
    3,419.25x = 5,128.98 × 1,079.28
  4. Step 4: Simplify right side
    3,419.25x = 5,535,605.53
  5. Step 5: Solve for x
    x = 5,535,605.53/3,419.25
  6. Step 6: Final answer
    x = 1,618.95

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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.