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Finding the Fourth Proportional to 4,968.54, 7,453.76 and 1,680.75

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Solution

The fourth proportional to 4,968.54, 7,453.76 and 1,680.75 is: 2,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.54 : 7,453.76 = 1,680.75 : x
  2. Step 2: Convert to fraction form
    4,968.54/7,453.76 = 1,680.75/x
  3. Step 3: Cross multiply
    4,968.54x = 7,453.76 × 1,680.75
  4. Step 4: Simplify right side
    4,968.54x = 12,527,898.72
  5. Step 5: Solve for x
    x = 12,527,898.72/4,968.54
  6. Step 6: Final answer
    x = 2,521.44

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Why These Related Problems?

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