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Finding the Fourth Proportional to 3,617, 5,425.86 and 1,668.92

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Solution

The fourth proportional to 3,617, 5,425.86 and 1,668.92 is: 2,503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617 : 5,425.86 = 1,668.92 : x
  2. Step 2: Convert to fraction form
    3,617/5,425.86 = 1,668.92/x
  3. Step 3: Cross multiply
    3,617x = 5,425.86 × 1,668.92
  4. Step 4: Simplify right side
    3,617x = 9,055,326.27
  5. Step 5: Solve for x
    x = 9,055,326.27/3,617
  6. Step 6: Final answer
    x = 2,503.55

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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.