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Finding the Fourth Proportional to 4,968.51, 7,453.44 and 1,680.72

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Solution

The fourth proportional to 4,968.51, 7,453.44 and 1,680.72 is: 2,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.51 : 7,453.44 = 1,680.72 : x
  2. Step 2: Convert to fraction form
    4,968.51/7,453.44 = 1,680.72/x
  3. Step 3: Cross multiply
    4,968.51x = 7,453.44 × 1,680.72
  4. Step 4: Simplify right side
    4,968.51x = 12,527,117.73
  5. Step 5: Solve for x
    x = 12,527,117.73/4,968.51
  6. Step 6: Final answer
    x = 2,521.30

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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.