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Finding the Fourth Proportional to 6,096.34, 8,412.46 and 3,444

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Solution

The fourth proportional to 6,096.34, 8,412.46 and 3,444 is: 4,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.34 : 8,412.46 = 3,444 : x
  2. Step 2: Convert to fraction form
    6,096.34/8,412.46 = 3,444/x
  3. Step 3: Cross multiply
    6,096.34x = 8,412.46 × 3,444
  4. Step 4: Simplify right side
    6,096.34x = 28,972,512.24
  5. Step 5: Solve for x
    x = 28,972,512.24/6,096.34
  6. Step 6: Final answer
    x = 4,752.44

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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.