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Finding the Fourth Proportional to 3,511.88, 5,266.05 and 1,171.05

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Solution

The fourth proportional to 3,511.88, 5,266.05 and 1,171.05 is: 1,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.88 : 5,266.05 = 1,171.05 : x
  2. Step 2: Convert to fraction form
    3,511.88/5,266.05 = 1,171.05/x
  3. Step 3: Cross multiply
    3,511.88x = 5,266.05 × 1,171.05
  4. Step 4: Simplify right side
    3,511.88x = 6,166,807.85
  5. Step 5: Solve for x
    x = 6,166,807.85/3,511.88
  6. Step 6: Final answer
    x = 1,755.98

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1.5x scale

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.