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Finding the Fourth Proportional to 3,390.36, 5,083.62 and 1,414.36

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Solution

The fourth proportional to 3,390.36, 5,083.62 and 1,414.36 is: 2,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.36 : 5,083.62 = 1,414.36 : x
  2. Step 2: Convert to fraction form
    3,390.36/5,083.62 = 1,414.36/x
  3. Step 3: Cross multiply
    3,390.36x = 5,083.62 × 1,414.36
  4. Step 4: Simplify right side
    3,390.36x = 7,190,068.78
  5. Step 5: Solve for x
    x = 7,190,068.78/3,390.36
  6. Step 6: Final answer
    x = 2,120.74

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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.