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Finding the Fourth Proportional to 4,096.36, 6,144.54 and 1,497.88

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Solution

The fourth proportional to 4,096.36, 6,144.54 and 1,497.88 is: 2,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.36 : 6,144.54 = 1,497.88 : x
  2. Step 2: Convert to fraction form
    4,096.36/6,144.54 = 1,497.88/x
  3. Step 3: Cross multiply
    4,096.36x = 6,144.54 × 1,497.88
  4. Step 4: Simplify right side
    4,096.36x = 9,203,768.21
  5. Step 5: Solve for x
    x = 9,203,768.21/4,096.36
  6. Step 6: Final answer
    x = 2,246.82

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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.