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Finding the Fourth Proportional to 4,213.98, 6,315.44 and 3,663.54

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Solution

The fourth proportional to 4,213.98, 6,315.44 and 3,663.54 is: 5,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.98 : 6,315.44 = 3,663.54 : x
  2. Step 2: Convert to fraction form
    4,213.98/6,315.44 = 3,663.54/x
  3. Step 3: Cross multiply
    4,213.98x = 6,315.44 × 3,663.54
  4. Step 4: Simplify right side
    4,213.98x = 23,136,848.74
  5. Step 5: Solve for x
    x = 23,136,848.74/4,213.98
  6. Step 6: Final answer
    x = 5,490.50

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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.