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Finding the Fourth Proportional to 3,873.47, 5,809.59 and 3,219.55

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Solution

The fourth proportional to 3,873.47, 5,809.59 and 3,219.55 is: 4,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.47 : 5,809.59 = 3,219.55 : x
  2. Step 2: Convert to fraction form
    3,873.47/5,809.59 = 3,219.55/x
  3. Step 3: Cross multiply
    3,873.47x = 5,809.59 × 3,219.55
  4. Step 4: Simplify right side
    3,873.47x = 18,704,265.48
  5. Step 5: Solve for x
    x = 18,704,265.48/3,873.47
  6. Step 6: Final answer
    x = 4,828.81

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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.