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Finding the Fourth Proportional to 5,852.39, 8,076.29 and 3,494.52

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Solution

The fourth proportional to 5,852.39, 8,076.29 and 3,494.52 is: 4,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.39 : 8,076.29 = 3,494.52 : x
  2. Step 2: Convert to fraction form
    5,852.39/8,076.29 = 3,494.52/x
  3. Step 3: Cross multiply
    5,852.39x = 8,076.29 × 3,494.52
  4. Step 4: Simplify right side
    5,852.39x = 28,222,739.46
  5. Step 5: Solve for x
    x = 28,222,739.46/5,852.39
  6. Step 6: Final answer
    x = 4,822.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.