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Finding the Fourth Proportional to 3,818.30, 5,728.02 and 1,353.14

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Solution

The fourth proportional to 3,818.30, 5,728.02 and 1,353.14 is: 2,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.30 : 5,728.02 = 1,353.14 : x
  2. Step 2: Convert to fraction form
    3,818.30/5,728.02 = 1,353.14/x
  3. Step 3: Cross multiply
    3,818.30x = 5,728.02 × 1,353.14
  4. Step 4: Simplify right side
    3,818.30x = 7,750,812.98
  5. Step 5: Solve for x
    x = 7,750,812.98/3,818.30
  6. Step 6: Final answer
    x = 2,029.91

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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.