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Finding the Fourth Proportional to 3,353.12, 5,029.72 and 1,013.14

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Solution

The fourth proportional to 3,353.12, 5,029.72 and 1,013.14 is: 1,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.12 : 5,029.72 = 1,013.14 : x
  2. Step 2: Convert to fraction form
    3,353.12/5,029.72 = 1,013.14/x
  3. Step 3: Cross multiply
    3,353.12x = 5,029.72 × 1,013.14
  4. Step 4: Simplify right side
    3,353.12x = 5,095,820.56
  5. Step 5: Solve for x
    x = 5,095,820.56/3,353.12
  6. Step 6: Final answer
    x = 1,519.73

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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.