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Finding the Fourth Proportional to 3,107.76, 4,685.46 and 2,896.28

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Solution

The fourth proportional to 3,107.76, 4,685.46 and 2,896.28 is: 4,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.76 : 4,685.46 = 2,896.28 : x
  2. Step 2: Convert to fraction form
    3,107.76/4,685.46 = 2,896.28/x
  3. Step 3: Cross multiply
    3,107.76x = 4,685.46 × 2,896.28
  4. Step 4: Simplify right side
    3,107.76x = 13,570,404.09
  5. Step 5: Solve for x
    x = 13,570,404.09/3,107.76
  6. Step 6: Final answer
    x = 4,366.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.