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Finding the Fourth Proportional to 5,424.48, 8,118 and 3,343.68

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Solution

The fourth proportional to 5,424.48, 8,118 and 3,343.68 is: 5,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.48 : 8,118 = 3,343.68 : x
  2. Step 2: Convert to fraction form
    5,424.48/8,118 = 3,343.68/x
  3. Step 3: Cross multiply
    5,424.48x = 8,118 × 3,343.68
  4. Step 4: Simplify right side
    5,424.48x = 27,143,994.24
  5. Step 5: Solve for x
    x = 27,143,994.24/5,424.48
  6. Step 6: Final answer
    x = 5,003.98

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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.