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Finding the Fourth Proportional to 3,119.88, 4,291.92 and 2,821.80

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Solution

The fourth proportional to 3,119.88, 4,291.92 and 2,821.80 is: 3,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.88 : 4,291.92 = 2,821.80 : x
  2. Step 2: Convert to fraction form
    3,119.88/4,291.92 = 2,821.80/x
  3. Step 3: Cross multiply
    3,119.88x = 4,291.92 × 2,821.80
  4. Step 4: Simplify right side
    3,119.88x = 12,110,939.86
  5. Step 5: Solve for x
    x = 12,110,939.86/3,119.88
  6. Step 6: Final answer
    x = 3,881.86

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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.