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Finding the Fourth Proportional to 5,472.48, 8,209.49 and 1,773.52

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Solution

The fourth proportional to 5,472.48, 8,209.49 and 1,773.52 is: 2,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.48 : 8,209.49 = 1,773.52 : x
  2. Step 2: Convert to fraction form
    5,472.48/8,209.49 = 1,773.52/x
  3. Step 3: Cross multiply
    5,472.48x = 8,209.49 × 1,773.52
  4. Step 4: Simplify right side
    5,472.48x = 14,559,665.31
  5. Step 5: Solve for x
    x = 14,559,665.31/5,472.48
  6. Step 6: Final answer
    x = 2,660.52

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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.