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Finding the Fourth Proportional to 3,819.66, 5,730.55 and 1,628.71

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Solution

The fourth proportional to 3,819.66, 5,730.55 and 1,628.71 is: 2,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.66 : 5,730.55 = 1,628.71 : x
  2. Step 2: Convert to fraction form
    3,819.66/5,730.55 = 1,628.71/x
  3. Step 3: Cross multiply
    3,819.66x = 5,730.55 × 1,628.71
  4. Step 4: Simplify right side
    3,819.66x = 9,333,385.69
  5. Step 5: Solve for x
    x = 9,333,385.69/3,819.66
  6. Step 6: Final answer
    x = 2,443.51

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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.