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Finding the Fourth Proportional to 3,706.63, 5,559.53 and 933.30

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Solution

The fourth proportional to 3,706.63, 5,559.53 and 933.30 is: 1,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.63 : 5,559.53 = 933.30 : x
  2. Step 2: Convert to fraction form
    3,706.63/5,559.53 = 933.30/x
  3. Step 3: Cross multiply
    3,706.63x = 5,559.53 × 933.30
  4. Step 4: Simplify right side
    3,706.63x = 5,188,704.68
  5. Step 5: Solve for x
    x = 5,188,704.68/3,706.63
  6. Step 6: Final answer
    x = 1,399.85

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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.