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Finding the Fourth Proportional to 5,194.40, 7,168.46 and 2,956.46

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Solution

The fourth proportional to 5,194.40, 7,168.46 and 2,956.46 is: 4,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.40 : 7,168.46 = 2,956.46 : x
  2. Step 2: Convert to fraction form
    5,194.40/7,168.46 = 2,956.46/x
  3. Step 3: Cross multiply
    5,194.40x = 7,168.46 × 2,956.46
  4. Step 4: Simplify right side
    5,194.40x = 21,193,214.63
  5. Step 5: Solve for x
    x = 21,193,214.63/5,194.40
  6. Step 6: Final answer
    x = 4,080.02

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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.