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Finding the Fourth Proportional to 3,353.90, 5,031.09 and 1,405.82

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Solution

The fourth proportional to 3,353.90, 5,031.09 and 1,405.82 is: 2,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.90 : 5,031.09 = 1,405.82 : x
  2. Step 2: Convert to fraction form
    3,353.90/5,031.09 = 1,405.82/x
  3. Step 3: Cross multiply
    3,353.90x = 5,031.09 × 1,405.82
  4. Step 4: Simplify right side
    3,353.90x = 7,072,806.94
  5. Step 5: Solve for x
    x = 7,072,806.94/3,353.90
  6. Step 6: Final answer
    x = 2,108.83

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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.