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Finding the Fourth Proportional to 3,850.76, 5,312.76 and 2,171.90

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Solution

The fourth proportional to 3,850.76, 5,312.76 and 2,171.90 is: 2,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.76 : 5,312.76 = 2,171.90 : x
  2. Step 2: Convert to fraction form
    3,850.76/5,312.76 = 2,171.90/x
  3. Step 3: Cross multiply
    3,850.76x = 5,312.76 × 2,171.90
  4. Step 4: Simplify right side
    3,850.76x = 11,538,783.44
  5. Step 5: Solve for x
    x = 11,538,783.44/3,850.76
  6. Step 6: Final answer
    x = 2,996.50

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1.5x scale

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.