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Finding the Fourth Proportional to 4,093.46, 5,643.03 and 2,832.59

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Solution

The fourth proportional to 4,093.46, 5,643.03 and 2,832.59 is: 3,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.46 : 5,643.03 = 2,832.59 : x
  2. Step 2: Convert to fraction form
    4,093.46/5,643.03 = 2,832.59/x
  3. Step 3: Cross multiply
    4,093.46x = 5,643.03 × 2,832.59
  4. Step 4: Simplify right side
    4,093.46x = 15,984,390.35
  5. Step 5: Solve for x
    x = 15,984,390.35/4,093.46
  6. Step 6: Final answer
    x = 3,904.86

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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.