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Finding the Fourth Proportional to 5,115.58, 7,668.20 and 1,993.64

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Solution

The fourth proportional to 5,115.58, 7,668.20 and 1,993.64 is: 2,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.58 : 7,668.20 = 1,993.64 : x
  2. Step 2: Convert to fraction form
    5,115.58/7,668.20 = 1,993.64/x
  3. Step 3: Cross multiply
    5,115.58x = 7,668.20 × 1,993.64
  4. Step 4: Simplify right side
    5,115.58x = 15,287,630.25
  5. Step 5: Solve for x
    x = 15,287,630.25/5,115.58
  6. Step 6: Final answer
    x = 2,988.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.