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Finding the Fourth Proportional to 3,987.58, 5,496.54 and 3,146.92

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Solution

The fourth proportional to 3,987.58, 5,496.54 and 3,146.92 is: 4,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.58 : 5,496.54 = 3,146.92 : x
  2. Step 2: Convert to fraction form
    3,987.58/5,496.54 = 3,146.92/x
  3. Step 3: Cross multiply
    3,987.58x = 5,496.54 × 3,146.92
  4. Step 4: Simplify right side
    3,987.58x = 17,297,171.66
  5. Step 5: Solve for x
    x = 17,297,171.66/3,987.58
  6. Step 6: Final answer
    x = 4,337.76

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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.