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Finding the Fourth Proportional to 5,175.36, 7,141.14 and 3,052.68

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Solution

The fourth proportional to 5,175.36, 7,141.14 and 3,052.68 is: 4,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.36 : 7,141.14 = 3,052.68 : x
  2. Step 2: Convert to fraction form
    5,175.36/7,141.14 = 3,052.68/x
  3. Step 3: Cross multiply
    5,175.36x = 7,141.14 × 3,052.68
  4. Step 4: Simplify right side
    5,175.36x = 21,799,615.26
  5. Step 5: Solve for x
    x = 21,799,615.26/5,175.36
  6. Step 6: Final answer
    x = 4,212.19

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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.