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Finding the Fourth Proportional to 3,807.21, 5,706.94 and 2,574.75

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Solution

The fourth proportional to 3,807.21, 5,706.94 and 2,574.75 is: 3,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.21 : 5,706.94 = 2,574.75 : x
  2. Step 2: Convert to fraction form
    3,807.21/5,706.94 = 2,574.75/x
  3. Step 3: Cross multiply
    3,807.21x = 5,706.94 × 2,574.75
  4. Step 4: Simplify right side
    3,807.21x = 14,693,930.89
  5. Step 5: Solve for x
    x = 14,693,930.89/3,807.21
  6. Step 6: Final answer
    x = 3,859.50

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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.