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Finding the Fourth Proportional to 5,648.99, 8,474.62 and 1,951.36

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Solution

The fourth proportional to 5,648.99, 8,474.62 and 1,951.36 is: 2,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.99 : 8,474.62 = 1,951.36 : x
  2. Step 2: Convert to fraction form
    5,648.99/8,474.62 = 1,951.36/x
  3. Step 3: Cross multiply
    5,648.99x = 8,474.62 × 1,951.36
  4. Step 4: Simplify right side
    5,648.99x = 16,537,034.48
  5. Step 5: Solve for x
    x = 16,537,034.48/5,648.99
  6. Step 6: Final answer
    x = 2,927.43

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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.