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Finding the Fourth Proportional to 4,300.18, 6,450 and 2,567.50

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Solution

The fourth proportional to 4,300.18, 6,450 and 2,567.50 is: 3,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.18 : 6,450 = 2,567.50 : x
  2. Step 2: Convert to fraction form
    4,300.18/6,450 = 2,567.50/x
  3. Step 3: Cross multiply
    4,300.18x = 6,450 × 2,567.50
  4. Step 4: Simplify right side
    4,300.18x = 16,560,375
  5. Step 5: Solve for x
    x = 16,560,375/4,300.18
  6. Step 6: Final answer
    x = 3,851.09

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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.