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Finding the Fourth Proportional to 3,899.88, 5,819.64 and 3,484.50

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Solution

The fourth proportional to 3,899.88, 5,819.64 and 3,484.50 is: 5,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.88 : 5,819.64 = 3,484.50 : x
  2. Step 2: Convert to fraction form
    3,899.88/5,819.64 = 3,484.50/x
  3. Step 3: Cross multiply
    3,899.88x = 5,819.64 × 3,484.50
  4. Step 4: Simplify right side
    3,899.88x = 20,278,535.58
  5. Step 5: Solve for x
    x = 20,278,535.58/3,899.88
  6. Step 6: Final answer
    x = 5,199.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.