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Finding the Fourth Proportional to 4,895.85, 7,343.97 and 1,433.10

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Solution

The fourth proportional to 4,895.85, 7,343.97 and 1,433.10 is: 2,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.85 : 7,343.97 = 1,433.10 : x
  2. Step 2: Convert to fraction form
    4,895.85/7,343.97 = 1,433.10/x
  3. Step 3: Cross multiply
    4,895.85x = 7,343.97 × 1,433.10
  4. Step 4: Simplify right side
    4,895.85x = 10,524,643.41
  5. Step 5: Solve for x
    x = 10,524,643.41/4,895.85
  6. Step 6: Final answer
    x = 2,149.71

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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.