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Finding the Fourth Proportional to 4,819.57, 7,233.44 and 1,899.92

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Solution

The fourth proportional to 4,819.57, 7,233.44 and 1,899.92 is: 2,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.57 : 7,233.44 = 1,899.92 : x
  2. Step 2: Convert to fraction form
    4,819.57/7,233.44 = 1,899.92/x
  3. Step 3: Cross multiply
    4,819.57x = 7,233.44 × 1,899.92
  4. Step 4: Simplify right side
    4,819.57x = 13,742,965.91
  5. Step 5: Solve for x
    x = 13,742,965.91/4,819.57
  6. Step 6: Final answer
    x = 2,851.49

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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.