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Finding the Fourth Proportional to 2,864.53, 3,923.43 and 2,696.41

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Solution

The fourth proportional to 2,864.53, 3,923.43 and 2,696.41 is: 3,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.53 : 3,923.43 = 2,696.41 : x
  2. Step 2: Convert to fraction form
    2,864.53/3,923.43 = 2,696.41/x
  3. Step 3: Cross multiply
    2,864.53x = 3,923.43 × 2,696.41
  4. Step 4: Simplify right side
    2,864.53x = 10,579,175.89
  5. Step 5: Solve for x
    x = 10,579,175.89/2,864.53
  6. Step 6: Final answer
    x = 3,693.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.