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Finding the Fourth Proportional to 4,863.14, 7,296.24 and 1,743.06

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Solution

The fourth proportional to 4,863.14, 7,296.24 and 1,743.06 is: 2,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.14 : 7,296.24 = 1,743.06 : x
  2. Step 2: Convert to fraction form
    4,863.14/7,296.24 = 1,743.06/x
  3. Step 3: Cross multiply
    4,863.14x = 7,296.24 × 1,743.06
  4. Step 4: Simplify right side
    4,863.14x = 12,717,784.09
  5. Step 5: Solve for x
    x = 12,717,784.09/4,863.14
  6. Step 6: Final answer
    x = 2,615.14

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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.