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Finding the Fourth Proportional to 3,369.30, 5,053.96 and 1,029.30

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Solution

The fourth proportional to 3,369.30, 5,053.96 and 1,029.30 is: 1,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.30 : 5,053.96 = 1,029.30 : x
  2. Step 2: Convert to fraction form
    3,369.30/5,053.96 = 1,029.30/x
  3. Step 3: Cross multiply
    3,369.30x = 5,053.96 × 1,029.30
  4. Step 4: Simplify right side
    3,369.30x = 5,202,041.03
  5. Step 5: Solve for x
    x = 5,202,041.03/3,369.30
  6. Step 6: Final answer
    x = 1,543.95

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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.