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Finding the Fourth Proportional to 3,369.35, 5,054.70 and 1,029.53

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Solution

The fourth proportional to 3,369.35, 5,054.70 and 1,029.53 is: 1,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.35 : 5,054.70 = 1,029.53 : x
  2. Step 2: Convert to fraction form
    3,369.35/5,054.70 = 1,029.53/x
  3. Step 3: Cross multiply
    3,369.35x = 5,054.70 × 1,029.53
  4. Step 4: Simplify right side
    3,369.35x = 5,203,940.02
  5. Step 5: Solve for x
    x = 5,203,940.02/3,369.35
  6. Step 6: Final answer
    x = 1,544.50

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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.