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Finding the Fourth Proportional to 4,171.28, 5,756.28 and 2,282.87

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Solution

The fourth proportional to 4,171.28, 5,756.28 and 2,282.87 is: 3,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.28 : 5,756.28 = 2,282.87 : x
  2. Step 2: Convert to fraction form
    4,171.28/5,756.28 = 2,282.87/x
  3. Step 3: Cross multiply
    4,171.28x = 5,756.28 × 2,282.87
  4. Step 4: Simplify right side
    4,171.28x = 13,140,810.14
  5. Step 5: Solve for x
    x = 13,140,810.14/4,171.28
  6. Step 6: Final answer
    x = 3,150.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.