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Finding the Fourth Proportional to 5,591.36, 8,387.04 and 3,278

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Solution

The fourth proportional to 5,591.36, 8,387.04 and 3,278 is: 4,917.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.36 : 8,387.04 = 3,278 : x
  2. Step 2: Convert to fraction form
    5,591.36/8,387.04 = 3,278/x
  3. Step 3: Cross multiply
    5,591.36x = 8,387.04 × 3,278
  4. Step 4: Simplify right side
    5,591.36x = 27,492,717.12
  5. Step 5: Solve for x
    x = 27,492,717.12/5,591.36
  6. Step 6: Final answer
    x = 4,917.00

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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.