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Finding the Fourth Proportional to 3,859.41, 5,326.10 and 2,180.85

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Solution

The fourth proportional to 3,859.41, 5,326.10 and 2,180.85 is: 3,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.41 : 5,326.10 = 2,180.85 : x
  2. Step 2: Convert to fraction form
    3,859.41/5,326.10 = 2,180.85/x
  3. Step 3: Cross multiply
    3,859.41x = 5,326.10 × 2,180.85
  4. Step 4: Simplify right side
    3,859.41x = 11,615,425.19
  5. Step 5: Solve for x
    x = 11,615,425.19/3,859.41
  6. Step 6: Final answer
    x = 3,009.64

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