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Finding the Fourth Proportional to 4,771.85, 7,158.71 and 1,484.80

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Solution

The fourth proportional to 4,771.85, 7,158.71 and 1,484.80 is: 2,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.85 : 7,158.71 = 1,484.80 : x
  2. Step 2: Convert to fraction form
    4,771.85/7,158.71 = 1,484.80/x
  3. Step 3: Cross multiply
    4,771.85x = 7,158.71 × 1,484.80
  4. Step 4: Simplify right side
    4,771.85x = 10,629,238.42
  5. Step 5: Solve for x
    x = 10,629,238.42/4,771.85
  6. Step 6: Final answer
    x = 2,227.49

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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.