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Finding the Fourth Proportional to 3,905.70, 5,390.38 and 2,512.50

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Solution

The fourth proportional to 3,905.70, 5,390.38 and 2,512.50 is: 3,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.70 : 5,390.38 = 2,512.50 : x
  2. Step 2: Convert to fraction form
    3,905.70/5,390.38 = 2,512.50/x
  3. Step 3: Cross multiply
    3,905.70x = 5,390.38 × 2,512.50
  4. Step 4: Simplify right side
    3,905.70x = 13,543,329.75
  5. Step 5: Solve for x
    x = 13,543,329.75/3,905.70
  6. Step 6: Final answer
    x = 3,467.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.