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Finding the Fourth Proportional to 4,871.26, 7,301.76 and 2,097.28

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Solution

The fourth proportional to 4,871.26, 7,301.76 and 2,097.28 is: 3,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.26 : 7,301.76 = 2,097.28 : x
  2. Step 2: Convert to fraction form
    4,871.26/7,301.76 = 2,097.28/x
  3. Step 3: Cross multiply
    4,871.26x = 7,301.76 × 2,097.28
  4. Step 4: Simplify right side
    4,871.26x = 15,313,835.21
  5. Step 5: Solve for x
    x = 15,313,835.21/4,871.26
  6. Step 6: Final answer
    x = 3,143.71

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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.