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Finding the Fourth Proportional to 3,476.37, 4,765.20 and 3,429.63

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Solution

The fourth proportional to 3,476.37, 4,765.20 and 3,429.63 is: 4,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.37 : 4,765.20 = 3,429.63 : x
  2. Step 2: Convert to fraction form
    3,476.37/4,765.20 = 3,429.63/x
  3. Step 3: Cross multiply
    3,476.37x = 4,765.20 × 3,429.63
  4. Step 4: Simplify right side
    3,476.37x = 16,342,872.88
  5. Step 5: Solve for x
    x = 16,342,872.88/3,476.37
  6. Step 6: Final answer
    x = 4,701.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.