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Finding the Fourth Proportional to 3,477.42, 5,216.09 and 1,837.17

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Solution

The fourth proportional to 3,477.42, 5,216.09 and 1,837.17 is: 2,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.42 : 5,216.09 = 1,837.17 : x
  2. Step 2: Convert to fraction form
    3,477.42/5,216.09 = 1,837.17/x
  3. Step 3: Cross multiply
    3,477.42x = 5,216.09 × 1,837.17
  4. Step 4: Simplify right side
    3,477.42x = 9,582,834.88
  5. Step 5: Solve for x
    x = 9,582,834.88/3,477.42
  6. Step 6: Final answer
    x = 2,755.73

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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.