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Finding the Fourth Proportional to 4,472.82, 6,709.23 and 1,873.94

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Solution

The fourth proportional to 4,472.82, 6,709.23 and 1,873.94 is: 2,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.82 : 6,709.23 = 1,873.94 : x
  2. Step 2: Convert to fraction form
    4,472.82/6,709.23 = 1,873.94/x
  3. Step 3: Cross multiply
    4,472.82x = 6,709.23 × 1,873.94
  4. Step 4: Simplify right side
    4,472.82x = 12,572,660.92
  5. Step 5: Solve for x
    x = 12,572,660.92/4,472.82
  6. Step 6: Final answer
    x = 2,810.90

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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.