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Finding the Fourth Proportional to 3,340.52, 5,013.66 and 1,289.96

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Solution

The fourth proportional to 3,340.52, 5,013.66 and 1,289.96 is: 1,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.52 : 5,013.66 = 1,289.96 : x
  2. Step 2: Convert to fraction form
    3,340.52/5,013.66 = 1,289.96/x
  3. Step 3: Cross multiply
    3,340.52x = 5,013.66 × 1,289.96
  4. Step 4: Simplify right side
    3,340.52x = 6,467,420.85
  5. Step 5: Solve for x
    x = 6,467,420.85/3,340.52
  6. Step 6: Final answer
    x = 1,936.05

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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.