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Finding the Fourth Proportional to 3,762.88, 5,641.08 and 2,029.52

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Solution

The fourth proportional to 3,762.88, 5,641.08 and 2,029.52 is: 3,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.88 : 5,641.08 = 2,029.52 : x
  2. Step 2: Convert to fraction form
    3,762.88/5,641.08 = 2,029.52/x
  3. Step 3: Cross multiply
    3,762.88x = 5,641.08 × 2,029.52
  4. Step 4: Simplify right side
    3,762.88x = 11,448,684.68
  5. Step 5: Solve for x
    x = 11,448,684.68/3,762.88
  6. Step 6: Final answer
    x = 3,042.53

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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.