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Finding the Fourth Proportional to 4,472.76, 6,695.46 and 3,896.76

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Solution

The fourth proportional to 4,472.76, 6,695.46 and 3,896.76 is: 5,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.76 : 6,695.46 = 3,896.76 : x
  2. Step 2: Convert to fraction form
    4,472.76/6,695.46 = 3,896.76/x
  3. Step 3: Cross multiply
    4,472.76x = 6,695.46 × 3,896.76
  4. Step 4: Simplify right side
    4,472.76x = 26,090,600.71
  5. Step 5: Solve for x
    x = 26,090,600.71/4,472.76
  6. Step 6: Final answer
    x = 5,833.22

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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.