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Finding the Fourth Proportional to 4,678.40, 6,456 and 2,997.44

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Solution

The fourth proportional to 4,678.40, 6,456 and 2,997.44 is: 4,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.40 : 6,456 = 2,997.44 : x
  2. Step 2: Convert to fraction form
    4,678.40/6,456 = 2,997.44/x
  3. Step 3: Cross multiply
    4,678.40x = 6,456 × 2,997.44
  4. Step 4: Simplify right side
    4,678.40x = 19,351,472.64
  5. Step 5: Solve for x
    x = 19,351,472.64/4,678.40
  6. Step 6: Final answer
    x = 4,136.34

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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.