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Finding the Fourth Proportional to 4,225, 6,339.42 and 2,033.32

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Solution

The fourth proportional to 4,225, 6,339.42 and 2,033.32 is: 3,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225 : 6,339.42 = 2,033.32 : x
  2. Step 2: Convert to fraction form
    4,225/6,339.42 = 2,033.32/x
  3. Step 3: Cross multiply
    4,225x = 6,339.42 × 2,033.32
  4. Step 4: Simplify right side
    4,225x = 12,890,069.47
  5. Step 5: Solve for x
    x = 12,890,069.47/4,225
  6. Step 6: Final answer
    x = 3,050.90

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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.