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Finding the Fourth Proportional to 3,654.76, 5,043.18 and 2,162.74

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Solution

The fourth proportional to 3,654.76, 5,043.18 and 2,162.74 is: 2,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.76 : 5,043.18 = 2,162.74 : x
  2. Step 2: Convert to fraction form
    3,654.76/5,043.18 = 2,162.74/x
  3. Step 3: Cross multiply
    3,654.76x = 5,043.18 × 2,162.74
  4. Step 4: Simplify right side
    3,654.76x = 10,907,087.11
  5. Step 5: Solve for x
    x = 10,907,087.11/3,654.76
  6. Step 6: Final answer
    x = 2,984.35

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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.