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Finding the Fourth Proportional to 5,586.71, 8,381.14 and 2,123.69

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Solution

The fourth proportional to 5,586.71, 8,381.14 and 2,123.69 is: 3,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.71 : 8,381.14 = 2,123.69 : x
  2. Step 2: Convert to fraction form
    5,586.71/8,381.14 = 2,123.69/x
  3. Step 3: Cross multiply
    5,586.71x = 8,381.14 × 2,123.69
  4. Step 4: Simplify right side
    5,586.71x = 17,798,927.56
  5. Step 5: Solve for x
    x = 17,798,927.56/5,586.71
  6. Step 6: Final answer
    x = 3,185.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.