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Finding the Fourth Proportional to 3,763.02, 5,645.94 and 1,571.58

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Solution

The fourth proportional to 3,763.02, 5,645.94 and 1,571.58 is: 2,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.02 : 5,645.94 = 1,571.58 : x
  2. Step 2: Convert to fraction form
    3,763.02/5,645.94 = 1,571.58/x
  3. Step 3: Cross multiply
    3,763.02x = 5,645.94 × 1,571.58
  4. Step 4: Simplify right side
    3,763.02x = 8,873,046.39
  5. Step 5: Solve for x
    x = 8,873,046.39/3,763.02
  6. Step 6: Final answer
    x = 2,357.96

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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.