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Finding the Fourth Proportional to 3,740.65, 5,611.29 and 967.30

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Solution

The fourth proportional to 3,740.65, 5,611.29 and 967.30 is: 1,451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.65 : 5,611.29 = 967.30 : x
  2. Step 2: Convert to fraction form
    3,740.65/5,611.29 = 967.30/x
  3. Step 3: Cross multiply
    3,740.65x = 5,611.29 × 967.30
  4. Step 4: Simplify right side
    3,740.65x = 5,427,800.82
  5. Step 5: Solve for x
    x = 5,427,800.82/3,740.65
  6. Step 6: Final answer
    x = 1,451.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.