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Finding the Fourth Proportional to 4,129.71, 6,193.86 and 1,496.73

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Solution

The fourth proportional to 4,129.71, 6,193.86 and 1,496.73 is: 2,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.71 : 6,193.86 = 1,496.73 : x
  2. Step 2: Convert to fraction form
    4,129.71/6,193.86 = 1,496.73/x
  3. Step 3: Cross multiply
    4,129.71x = 6,193.86 × 1,496.73
  4. Step 4: Simplify right side
    4,129.71x = 9,270,536.08
  5. Step 5: Solve for x
    x = 9,270,536.08/4,129.71
  6. Step 6: Final answer
    x = 2,244.84

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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.