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Finding the Fourth Proportional to 5,274.52, 7,911.74 and 3,097.06

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Solution

The fourth proportional to 5,274.52, 7,911.74 and 3,097.06 is: 4,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.52 : 7,911.74 = 3,097.06 : x
  2. Step 2: Convert to fraction form
    5,274.52/7,911.74 = 3,097.06/x
  3. Step 3: Cross multiply
    5,274.52x = 7,911.74 × 3,097.06
  4. Step 4: Simplify right side
    5,274.52x = 24,503,121.45
  5. Step 5: Solve for x
    x = 24,503,121.45/5,274.52
  6. Step 6: Final answer
    x = 4,645.57

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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.