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Finding the Fourth Proportional to 3,797.90, 5,239.64 and 2,305.28

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Solution

The fourth proportional to 3,797.90, 5,239.64 and 2,305.28 is: 3,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.90 : 5,239.64 = 2,305.28 : x
  2. Step 2: Convert to fraction form
    3,797.90/5,239.64 = 2,305.28/x
  3. Step 3: Cross multiply
    3,797.90x = 5,239.64 × 2,305.28
  4. Step 4: Simplify right side
    3,797.90x = 12,078,837.30
  5. Step 5: Solve for x
    x = 12,078,837.30/3,797.90
  6. Step 6: Final answer
    x = 3,180.40

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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.