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Finding the Fourth Proportional to 5,586.98, 8,384 and 3,123.41

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Solution

The fourth proportional to 5,586.98, 8,384 and 3,123.41 is: 4,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.98 : 8,384 = 3,123.41 : x
  2. Step 2: Convert to fraction form
    5,586.98/8,384 = 3,123.41/x
  3. Step 3: Cross multiply
    5,586.98x = 8,384 × 3,123.41
  4. Step 4: Simplify right side
    5,586.98x = 26,186,669.44
  5. Step 5: Solve for x
    x = 26,186,669.44/5,586.98
  6. Step 6: Final answer
    x = 4,687.09

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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.