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Finding the Fourth Proportional to 4,964.76, 7,448.06 and 1,633.20

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Solution

The fourth proportional to 4,964.76, 7,448.06 and 1,633.20 is: 2,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.76 : 7,448.06 = 1,633.20 : x
  2. Step 2: Convert to fraction form
    4,964.76/7,448.06 = 1,633.20/x
  3. Step 3: Cross multiply
    4,964.76x = 7,448.06 × 1,633.20
  4. Step 4: Simplify right side
    4,964.76x = 12,164,163.43
  5. Step 5: Solve for x
    x = 12,164,163.43/4,964.76
  6. Step 6: Final answer
    x = 2,450.10

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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.