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Finding the Fourth Proportional to 4,093.14, 5,650.84 and 2,698.32

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Solution

The fourth proportional to 4,093.14, 5,650.84 and 2,698.32 is: 3,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.14 : 5,650.84 = 2,698.32 : x
  2. Step 2: Convert to fraction form
    4,093.14/5,650.84 = 2,698.32/x
  3. Step 3: Cross multiply
    4,093.14x = 5,650.84 × 2,698.32
  4. Step 4: Simplify right side
    4,093.14x = 15,247,774.59
  5. Step 5: Solve for x
    x = 15,247,774.59/4,093.14
  6. Step 6: Final answer
    x = 3,725.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.