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Finding the Fourth Proportional to 3,830.52, 5,279.22 and 2,780.76

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Solution

The fourth proportional to 3,830.52, 5,279.22 and 2,780.76 is: 3,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.52 : 5,279.22 = 2,780.76 : x
  2. Step 2: Convert to fraction form
    3,830.52/5,279.22 = 2,780.76/x
  3. Step 3: Cross multiply
    3,830.52x = 5,279.22 × 2,780.76
  4. Step 4: Simplify right side
    3,830.52x = 14,680,243.81
  5. Step 5: Solve for x
    x = 14,680,243.81/3,830.52
  6. Step 6: Final answer
    x = 3,832.44

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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.