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Finding the Fourth Proportional to 3,819.84, 5,730.72 and 2,088

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Solution

The fourth proportional to 3,819.84, 5,730.72 and 2,088 is: 3,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.84 : 5,730.72 = 2,088 : x
  2. Step 2: Convert to fraction form
    3,819.84/5,730.72 = 2,088/x
  3. Step 3: Cross multiply
    3,819.84x = 5,730.72 × 2,088
  4. Step 4: Simplify right side
    3,819.84x = 11,965,743.36
  5. Step 5: Solve for x
    x = 11,965,743.36/3,819.84
  6. Step 6: Final answer
    x = 3,132.52

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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.