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Finding the Fourth Proportional to 3,379.92, 5,069.64 and 1,039.80

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Solution

The fourth proportional to 3,379.92, 5,069.64 and 1,039.80 is: 1,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.92 : 5,069.64 = 1,039.80 : x
  2. Step 2: Convert to fraction form
    3,379.92/5,069.64 = 1,039.80/x
  3. Step 3: Cross multiply
    3,379.92x = 5,069.64 × 1,039.80
  4. Step 4: Simplify right side
    3,379.92x = 5,271,411.67
  5. Step 5: Solve for x
    x = 5,271,411.67/3,379.92
  6. Step 6: Final answer
    x = 1,559.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.