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Finding the Fourth Proportional to 3,805.12, 5,706.06 and 1,495

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Solution

The fourth proportional to 3,805.12, 5,706.06 and 1,495 is: 2,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.12 : 5,706.06 = 1,495 : x
  2. Step 2: Convert to fraction form
    3,805.12/5,706.06 = 1,495/x
  3. Step 3: Cross multiply
    3,805.12x = 5,706.06 × 1,495
  4. Step 4: Simplify right side
    3,805.12x = 8,530,559.70
  5. Step 5: Solve for x
    x = 8,530,559.70/3,805.12
  6. Step 6: Final answer
    x = 2,241.86

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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.