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Finding the Fourth Proportional to 4,567.20, 6,850.50 and 1,489.20

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Solution

The fourth proportional to 4,567.20, 6,850.50 and 1,489.20 is: 2,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.20 : 6,850.50 = 1,489.20 : x
  2. Step 2: Convert to fraction form
    4,567.20/6,850.50 = 1,489.20/x
  3. Step 3: Cross multiply
    4,567.20x = 6,850.50 × 1,489.20
  4. Step 4: Simplify right side
    4,567.20x = 10,201,764.60
  5. Step 5: Solve for x
    x = 10,201,764.60/4,567.20
  6. Step 6: Final answer
    x = 2,233.70

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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.