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Finding the Fourth Proportional to 3,787, 5,226.12 and 2,216.20

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Solution

The fourth proportional to 3,787, 5,226.12 and 2,216.20 is: 3,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787 : 5,226.12 = 2,216.20 : x
  2. Step 2: Convert to fraction form
    3,787/5,226.12 = 2,216.20/x
  3. Step 3: Cross multiply
    3,787x = 5,226.12 × 2,216.20
  4. Step 4: Simplify right side
    3,787x = 11,582,127.14
  5. Step 5: Solve for x
    x = 11,582,127.14/3,787
  6. Step 6: Final answer
    x = 3,058.39

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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.