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Finding the Fourth Proportional to 4,972.49, 7,458.27 and 1,685.20

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Solution

The fourth proportional to 4,972.49, 7,458.27 and 1,685.20 is: 2,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.49 : 7,458.27 = 1,685.20 : x
  2. Step 2: Convert to fraction form
    4,972.49/7,458.27 = 1,685.20/x
  3. Step 3: Cross multiply
    4,972.49x = 7,458.27 × 1,685.20
  4. Step 4: Simplify right side
    4,972.49x = 12,568,676.60
  5. Step 5: Solve for x
    x = 12,568,676.60/4,972.49
  6. Step 6: Final answer
    x = 2,527.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.