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Finding the Fourth Proportional to 4,496.42, 6,745.54 and 1,576.78

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Solution

The fourth proportional to 4,496.42, 6,745.54 and 1,576.78 is: 2,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.42 : 6,745.54 = 1,576.78 : x
  2. Step 2: Convert to fraction form
    4,496.42/6,745.54 = 1,576.78/x
  3. Step 3: Cross multiply
    4,496.42x = 6,745.54 × 1,576.78
  4. Step 4: Simplify right side
    4,496.42x = 10,636,232.56
  5. Step 5: Solve for x
    x = 10,636,232.56/4,496.42
  6. Step 6: Final answer
    x = 2,365.49

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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.