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Finding the Fourth Proportional to 5,274.38, 7,908.90 and 1,763.14

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Solution

The fourth proportional to 5,274.38, 7,908.90 and 1,763.14 is: 2,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.38 : 7,908.90 = 1,763.14 : x
  2. Step 2: Convert to fraction form
    5,274.38/7,908.90 = 1,763.14/x
  3. Step 3: Cross multiply
    5,274.38x = 7,908.90 × 1,763.14
  4. Step 4: Simplify right side
    5,274.38x = 13,944,458.40
  5. Step 5: Solve for x
    x = 13,944,458.40/5,274.38
  6. Step 6: Final answer
    x = 2,643.81

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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.