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Finding the Fourth Proportional to 4,809.63, 7,214.73 and 1,346.88

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Solution

The fourth proportional to 4,809.63, 7,214.73 and 1,346.88 is: 2,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.63 : 7,214.73 = 1,346.88 : x
  2. Step 2: Convert to fraction form
    4,809.63/7,214.73 = 1,346.88/x
  3. Step 3: Cross multiply
    4,809.63x = 7,214.73 × 1,346.88
  4. Step 4: Simplify right side
    4,809.63x = 9,717,375.54
  5. Step 5: Solve for x
    x = 9,717,375.54/4,809.63
  6. Step 6: Final answer
    x = 2,020.40

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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.