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Finding the Fourth Proportional to 4,277.60, 6,419.52 and 2,819.84

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Solution

The fourth proportional to 4,277.60, 6,419.52 and 2,819.84 is: 4,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.60 : 6,419.52 = 2,819.84 : x
  2. Step 2: Convert to fraction form
    4,277.60/6,419.52 = 2,819.84/x
  3. Step 3: Cross multiply
    4,277.60x = 6,419.52 × 2,819.84
  4. Step 4: Simplify right side
    4,277.60x = 18,102,019.28
  5. Step 5: Solve for x
    x = 18,102,019.28/4,277.60
  6. Step 6: Final answer
    x = 4,231.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.