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Finding the Fourth Proportional to 5,204.88, 7,809.12 and 3,254.76

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Solution

The fourth proportional to 5,204.88, 7,809.12 and 3,254.76 is: 4,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.88 : 7,809.12 = 3,254.76 : x
  2. Step 2: Convert to fraction form
    5,204.88/7,809.12 = 3,254.76/x
  3. Step 3: Cross multiply
    5,204.88x = 7,809.12 × 3,254.76
  4. Step 4: Simplify right side
    5,204.88x = 25,416,811.41
  5. Step 5: Solve for x
    x = 25,416,811.41/5,204.88
  6. Step 6: Final answer
    x = 4,883.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.