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Finding the Fourth Proportional to 4,225.69, 6,340.63 and 3,192

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Solution

The fourth proportional to 4,225.69, 6,340.63 and 3,192 is: 4,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.69 : 6,340.63 = 3,192 : x
  2. Step 2: Convert to fraction form
    4,225.69/6,340.63 = 3,192/x
  3. Step 3: Cross multiply
    4,225.69x = 6,340.63 × 3,192
  4. Step 4: Simplify right side
    4,225.69x = 20,239,290.96
  5. Step 5: Solve for x
    x = 20,239,290.96/4,225.69
  6. Step 6: Final answer
    x = 4,789.58

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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.