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Finding the Fourth Proportional to 4,477, 6,714.78 and 3,174.52

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Solution

The fourth proportional to 4,477, 6,714.78 and 3,174.52 is: 4,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477 : 6,714.78 = 3,174.52 : x
  2. Step 2: Convert to fraction form
    4,477/6,714.78 = 3,174.52/x
  3. Step 3: Cross multiply
    4,477x = 6,714.78 × 3,174.52
  4. Step 4: Simplify right side
    4,477x = 21,316,203.41
  5. Step 5: Solve for x
    x = 21,316,203.41/4,477
  6. Step 6: Final answer
    x = 4,761.27

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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.