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Finding the Fourth Proportional to 4,175.81, 5,753.16 and 3,428.58

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Solution

The fourth proportional to 4,175.81, 5,753.16 and 3,428.58 is: 4,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.81 : 5,753.16 = 3,428.58 : x
  2. Step 2: Convert to fraction form
    4,175.81/5,753.16 = 3,428.58/x
  3. Step 3: Cross multiply
    4,175.81x = 5,753.16 × 3,428.58
  4. Step 4: Simplify right side
    4,175.81x = 19,725,169.31
  5. Step 5: Solve for x
    x = 19,725,169.31/4,175.81
  6. Step 6: Final answer
    x = 4,723.68

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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.