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Finding the Fourth Proportional to 5,121.90, 7,681.92 and 1,790.64

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Solution

The fourth proportional to 5,121.90, 7,681.92 and 1,790.64 is: 2,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.90 : 7,681.92 = 1,790.64 : x
  2. Step 2: Convert to fraction form
    5,121.90/7,681.92 = 1,790.64/x
  3. Step 3: Cross multiply
    5,121.90x = 7,681.92 × 1,790.64
  4. Step 4: Simplify right side
    5,121.90x = 13,755,553.23
  5. Step 5: Solve for x
    x = 13,755,553.23/5,121.90
  6. Step 6: Final answer
    x = 2,685.63

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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.