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Finding the Fourth Proportional to 3,817.16, 5,267 and 2,138.60

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Solution

The fourth proportional to 3,817.16, 5,267 and 2,138.60 is: 2,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.16 : 5,267 = 2,138.60 : x
  2. Step 2: Convert to fraction form
    3,817.16/5,267 = 2,138.60/x
  3. Step 3: Cross multiply
    3,817.16x = 5,267 × 2,138.60
  4. Step 4: Simplify right side
    3,817.16x = 11,264,006.20
  5. Step 5: Solve for x
    x = 11,264,006.20/3,817.16
  6. Step 6: Final answer
    x = 2,950.89

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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.