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Finding the Fourth Proportional to 4,919.67, 7,378.02 and 1,632.02

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Solution

The fourth proportional to 4,919.67, 7,378.02 and 1,632.02 is: 2,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.67 : 7,378.02 = 1,632.02 : x
  2. Step 2: Convert to fraction form
    4,919.67/7,378.02 = 1,632.02/x
  3. Step 3: Cross multiply
    4,919.67x = 7,378.02 × 1,632.02
  4. Step 4: Simplify right side
    4,919.67x = 12,041,039.31
  5. Step 5: Solve for x
    x = 12,041,039.31/4,919.67
  6. Step 6: Final answer
    x = 2,447.53

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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.