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Finding the Fourth Proportional to 3,762.75, 5,644.28 and 1,422.51

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Solution

The fourth proportional to 3,762.75, 5,644.28 and 1,422.51 is: 2,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.75 : 5,644.28 = 1,422.51 : x
  2. Step 2: Convert to fraction form
    3,762.75/5,644.28 = 1,422.51/x
  3. Step 3: Cross multiply
    3,762.75x = 5,644.28 × 1,422.51
  4. Step 4: Simplify right side
    3,762.75x = 8,029,044.74
  5. Step 5: Solve for x
    x = 8,029,044.74/3,762.75
  6. Step 6: Final answer
    x = 2,133.82

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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.