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Finding the Fourth Proportional to 6,156.54, 9,237.65 and 3,819.29

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Solution

The fourth proportional to 6,156.54, 9,237.65 and 3,819.29 is: 5,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.54 : 9,237.65 = 3,819.29 : x
  2. Step 2: Convert to fraction form
    6,156.54/9,237.65 = 3,819.29/x
  3. Step 3: Cross multiply
    6,156.54x = 9,237.65 × 3,819.29
  4. Step 4: Simplify right side
    6,156.54x = 35,281,198.98
  5. Step 5: Solve for x
    x = 35,281,198.98/6,156.54
  6. Step 6: Final answer
    x = 5,730.69

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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.