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Finding the Fourth Proportional to 3,754.41, 5,615.20 and 3,065.50

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Solution

The fourth proportional to 3,754.41, 5,615.20 and 3,065.50 is: 4,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.41 : 5,615.20 = 3,065.50 : x
  2. Step 2: Convert to fraction form
    3,754.41/5,615.20 = 3,065.50/x
  3. Step 3: Cross multiply
    3,754.41x = 5,615.20 × 3,065.50
  4. Step 4: Simplify right side
    3,754.41x = 17,213,395.60
  5. Step 5: Solve for x
    x = 17,213,395.60/3,754.41
  6. Step 6: Final answer
    x = 4,584.85

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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.