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Finding the Fourth Proportional to 4,256.78, 6,385.37 and 2,174.27

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Solution

The fourth proportional to 4,256.78, 6,385.37 and 2,174.27 is: 3,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.78 : 6,385.37 = 2,174.27 : x
  2. Step 2: Convert to fraction form
    4,256.78/6,385.37 = 2,174.27/x
  3. Step 3: Cross multiply
    4,256.78x = 6,385.37 × 2,174.27
  4. Step 4: Simplify right side
    4,256.78x = 13,883,475.63
  5. Step 5: Solve for x
    x = 13,883,475.63/4,256.78
  6. Step 6: Final answer
    x = 3,261.50

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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.