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Finding the Fourth Proportional to 3,873.20, 5,809.80 and 1,684.40

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Solution

The fourth proportional to 3,873.20, 5,809.80 and 1,684.40 is: 2,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.20 : 5,809.80 = 1,684.40 : x
  2. Step 2: Convert to fraction form
    3,873.20/5,809.80 = 1,684.40/x
  3. Step 3: Cross multiply
    3,873.20x = 5,809.80 × 1,684.40
  4. Step 4: Simplify right side
    3,873.20x = 9,786,027.12
  5. Step 5: Solve for x
    x = 9,786,027.12/3,873.20
  6. Step 6: Final answer
    x = 2,526.60

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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.