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Finding the Fourth Proportional to 3,706.72, 5,559.67 and 933.39

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Solution

The fourth proportional to 3,706.72, 5,559.67 and 933.39 is: 1,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.72 : 5,559.67 = 933.39 : x
  2. Step 2: Convert to fraction form
    3,706.72/5,559.67 = 933.39/x
  3. Step 3: Cross multiply
    3,706.72x = 5,559.67 × 933.39
  4. Step 4: Simplify right side
    3,706.72x = 5,189,324.15
  5. Step 5: Solve for x
    x = 5,189,324.15/3,706.72
  6. Step 6: Final answer
    x = 1,399.98

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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.