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Finding the Fourth Proportional to 6,412.32, 8,848.44 and 3,579.48

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Solution

The fourth proportional to 6,412.32, 8,848.44 and 3,579.48 is: 4,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.32 : 8,848.44 = 3,579.48 : x
  2. Step 2: Convert to fraction form
    6,412.32/8,848.44 = 3,579.48/x
  3. Step 3: Cross multiply
    6,412.32x = 8,848.44 × 3,579.48
  4. Step 4: Simplify right side
    6,412.32x = 31,672,814.01
  5. Step 5: Solve for x
    x = 31,672,814.01/6,412.32
  6. Step 6: Final answer
    x = 4,939.37

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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.