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Finding the Fourth Proportional to 3,877.14, 5,819.76 and 2,417.30

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Solution

The fourth proportional to 3,877.14, 5,819.76 and 2,417.30 is: 3,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.14 : 5,819.76 = 2,417.30 : x
  2. Step 2: Convert to fraction form
    3,877.14/5,819.76 = 2,417.30/x
  3. Step 3: Cross multiply
    3,877.14x = 5,819.76 × 2,417.30
  4. Step 4: Simplify right side
    3,877.14x = 14,068,105.85
  5. Step 5: Solve for x
    x = 14,068,105.85/3,877.14
  6. Step 6: Final answer
    x = 3,628.48

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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.