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Finding the Fourth Proportional to 3,817.58, 5,267.95 and 2,138.74

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Solution

The fourth proportional to 3,817.58, 5,267.95 and 2,138.74 is: 2,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.58 : 5,267.95 = 2,138.74 : x
  2. Step 2: Convert to fraction form
    3,817.58/5,267.95 = 2,138.74/x
  3. Step 3: Cross multiply
    3,817.58x = 5,267.95 × 2,138.74
  4. Step 4: Simplify right side
    3,817.58x = 11,266,775.38
  5. Step 5: Solve for x
    x = 11,266,775.38/3,817.58
  6. Step 6: Final answer
    x = 2,951.29

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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.