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Finding the Fourth Proportional to 4,309.56, 5,944.25 and 2,714.67

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Solution

The fourth proportional to 4,309.56, 5,944.25 and 2,714.67 is: 3,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.56 : 5,944.25 = 2,714.67 : x
  2. Step 2: Convert to fraction form
    4,309.56/5,944.25 = 2,714.67/x
  3. Step 3: Cross multiply
    4,309.56x = 5,944.25 × 2,714.67
  4. Step 4: Simplify right side
    4,309.56x = 16,136,683.93
  5. Step 5: Solve for x
    x = 16,136,683.93/4,309.56
  6. Step 6: Final answer
    x = 3,744.39

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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.