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Finding the Fourth Proportional to 5,194.76, 7,168.48 and 3,205.46

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Solution

The fourth proportional to 5,194.76, 7,168.48 and 3,205.46 is: 4,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.76 : 7,168.48 = 3,205.46 : x
  2. Step 2: Convert to fraction form
    5,194.76/7,168.48 = 3,205.46/x
  3. Step 3: Cross multiply
    5,194.76x = 7,168.48 × 3,205.46
  4. Step 4: Simplify right side
    5,194.76x = 22,978,232.04
  5. Step 5: Solve for x
    x = 22,978,232.04/5,194.76
  6. Step 6: Final answer
    x = 4,423.35

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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.