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Finding the Fourth Proportional to 4,965.62, 7,449.26 and 1,632.98

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Solution

The fourth proportional to 4,965.62, 7,449.26 and 1,632.98 is: 2,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.62 : 7,449.26 = 1,632.98 : x
  2. Step 2: Convert to fraction form
    4,965.62/7,449.26 = 1,632.98/x
  3. Step 3: Cross multiply
    4,965.62x = 7,449.26 × 1,632.98
  4. Step 4: Simplify right side
    4,965.62x = 12,164,492.59
  5. Step 5: Solve for x
    x = 12,164,492.59/4,965.62
  6. Step 6: Final answer
    x = 2,449.74

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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.