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Finding the Fourth Proportional to 3,586.71, 5,381.09 and 1,121.57

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Solution

The fourth proportional to 3,586.71, 5,381.09 and 1,121.57 is: 1,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.71 : 5,381.09 = 1,121.57 : x
  2. Step 2: Convert to fraction form
    3,586.71/5,381.09 = 1,121.57/x
  3. Step 3: Cross multiply
    3,586.71x = 5,381.09 × 1,121.57
  4. Step 4: Simplify right side
    3,586.71x = 6,035,269.11
  5. Step 5: Solve for x
    x = 6,035,269.11/3,586.71
  6. Step 6: Final answer
    x = 1,682.68

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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.