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Finding the Fourth Proportional to 3,415.54, 5,120.16 and 1,336.96

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Solution

The fourth proportional to 3,415.54, 5,120.16 and 1,336.96 is: 2,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.54 : 5,120.16 = 1,336.96 : x
  2. Step 2: Convert to fraction form
    3,415.54/5,120.16 = 1,336.96/x
  3. Step 3: Cross multiply
    3,415.54x = 5,120.16 × 1,336.96
  4. Step 4: Simplify right side
    3,415.54x = 6,845,449.11
  5. Step 5: Solve for x
    x = 6,845,449.11/3,415.54
  6. Step 6: Final answer
    x = 2,004.21

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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.