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Finding the Fourth Proportional to 4,498.54, 6,747.86 and 1,576.92

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Solution

The fourth proportional to 4,498.54, 6,747.86 and 1,576.92 is: 2,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.54 : 6,747.86 = 1,576.92 : x
  2. Step 2: Convert to fraction form
    4,498.54/6,747.86 = 1,576.92/x
  3. Step 3: Cross multiply
    4,498.54x = 6,747.86 × 1,576.92
  4. Step 4: Simplify right side
    4,498.54x = 10,640,835.39
  5. Step 5: Solve for x
    x = 10,640,835.39/4,498.54
  6. Step 6: Final answer
    x = 2,365.40

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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.