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Finding the Fourth Proportional to 4,274.66, 6,412.18 and 1,353.18

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Solution

The fourth proportional to 4,274.66, 6,412.18 and 1,353.18 is: 2,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.66 : 6,412.18 = 1,353.18 : x
  2. Step 2: Convert to fraction form
    4,274.66/6,412.18 = 1,353.18/x
  3. Step 3: Cross multiply
    4,274.66x = 6,412.18 × 1,353.18
  4. Step 4: Simplify right side
    4,274.66x = 8,676,833.73
  5. Step 5: Solve for x
    x = 8,676,833.73/4,274.66
  6. Step 6: Final answer
    x = 2,029.83

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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.