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Finding the Fourth Proportional to 3,740.26, 5,610.37 and 966.70

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Solution

The fourth proportional to 3,740.26, 5,610.37 and 966.70 is: 1,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.26 : 5,610.37 = 966.70 : x
  2. Step 2: Convert to fraction form
    3,740.26/5,610.37 = 966.70/x
  3. Step 3: Cross multiply
    3,740.26x = 5,610.37 × 966.70
  4. Step 4: Simplify right side
    3,740.26x = 5,423,516.63
  5. Step 5: Solve for x
    x = 5,423,516.63/3,740.26
  6. Step 6: Final answer
    x = 1,450.04

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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.