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Finding the Fourth Proportional to 3,586.98, 5,379.74 and 1,121.22

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Solution

The fourth proportional to 3,586.98, 5,379.74 and 1,121.22 is: 1,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.98 : 5,379.74 = 1,121.22 : x
  2. Step 2: Convert to fraction form
    3,586.98/5,379.74 = 1,121.22/x
  3. Step 3: Cross multiply
    3,586.98x = 5,379.74 × 1,121.22
  4. Step 4: Simplify right side
    3,586.98x = 6,031,872.08
  5. Step 5: Solve for x
    x = 6,031,872.08/3,586.98
  6. Step 6: Final answer
    x = 1,681.60

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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.