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Finding the Fourth Proportional to 3,912, 5,398.56 and 2,256.96

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Solution

The fourth proportional to 3,912, 5,398.56 and 2,256.96 is: 3,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912 : 5,398.56 = 2,256.96 : x
  2. Step 2: Convert to fraction form
    3,912/5,398.56 = 2,256.96/x
  3. Step 3: Cross multiply
    3,912x = 5,398.56 × 2,256.96
  4. Step 4: Simplify right side
    3,912x = 12,184,333.98
  5. Step 5: Solve for x
    x = 12,184,333.98/3,912
  6. Step 6: Final answer
    x = 3,114.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.