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Finding the Fourth Proportional to 5,648.94, 8,474.49 and 1,752.44

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Solution

The fourth proportional to 5,648.94, 8,474.49 and 1,752.44 is: 2,628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.94 : 8,474.49 = 1,752.44 : x
  2. Step 2: Convert to fraction form
    5,648.94/8,474.49 = 1,752.44/x
  3. Step 3: Cross multiply
    5,648.94x = 8,474.49 × 1,752.44
  4. Step 4: Simplify right side
    5,648.94x = 14,850,992.88
  5. Step 5: Solve for x
    x = 14,850,992.88/5,648.94
  6. Step 6: Final answer
    x = 2,628.99

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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.