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Finding the Fourth Proportional to 4,404, 6,080.24 and 2,834.88

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Solution

The fourth proportional to 4,404, 6,080.24 and 2,834.88 is: 3,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,404 : 6,080.24 = 2,834.88 : x
  2. Step 2: Convert to fraction form
    4,404/6,080.24 = 2,834.88/x
  3. Step 3: Cross multiply
    4,404x = 6,080.24 × 2,834.88
  4. Step 4: Simplify right side
    4,404x = 17,236,750.77
  5. Step 5: Solve for x
    x = 17,236,750.77/4,404
  6. Step 6: Final answer
    x = 3,913.89

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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.