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Finding the Fourth Proportional to 3,493.71, 4,819.45 and 2,653.02

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Solution

The fourth proportional to 3,493.71, 4,819.45 and 2,653.02 is: 3,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.71 : 4,819.45 = 2,653.02 : x
  2. Step 2: Convert to fraction form
    3,493.71/4,819.45 = 2,653.02/x
  3. Step 3: Cross multiply
    3,493.71x = 4,819.45 × 2,653.02
  4. Step 4: Simplify right side
    3,493.71x = 12,786,097.24
  5. Step 5: Solve for x
    x = 12,786,097.24/3,493.71
  6. Step 6: Final answer
    x = 3,659.75

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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.