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Finding the Fourth Proportional to 4,491.79, 6,731.87 and 3,102.91

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Solution

The fourth proportional to 4,491.79, 6,731.87 and 3,102.91 is: 4,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.79 : 6,731.87 = 3,102.91 : x
  2. Step 2: Convert to fraction form
    4,491.79/6,731.87 = 3,102.91/x
  3. Step 3: Cross multiply
    4,491.79x = 6,731.87 × 3,102.91
  4. Step 4: Simplify right side
    4,491.79x = 20,888,337.57
  5. Step 5: Solve for x
    x = 20,888,337.57/4,491.79
  6. Step 6: Final answer
    x = 4,650.34

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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.