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Finding the Fourth Proportional to 3,782.79, 5,669.60 and 2,023.47

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Solution

The fourth proportional to 3,782.79, 5,669.60 and 2,023.47 is: 3,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.79 : 5,669.60 = 2,023.47 : x
  2. Step 2: Convert to fraction form
    3,782.79/5,669.60 = 2,023.47/x
  3. Step 3: Cross multiply
    3,782.79x = 5,669.60 × 2,023.47
  4. Step 4: Simplify right side
    3,782.79x = 11,472,255.39
  5. Step 5: Solve for x
    x = 11,472,255.39/3,782.79
  6. Step 6: Final answer
    x = 3,032.75

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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.