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Finding the Fourth Proportional to 4,972.43, 7,458.17 and 1,274.55

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Solution

The fourth proportional to 4,972.43, 7,458.17 and 1,274.55 is: 1,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.43 : 7,458.17 = 1,274.55 : x
  2. Step 2: Convert to fraction form
    4,972.43/7,458.17 = 1,274.55/x
  3. Step 3: Cross multiply
    4,972.43x = 7,458.17 × 1,274.55
  4. Step 4: Simplify right side
    4,972.43x = 9,505,804.20
  5. Step 5: Solve for x
    x = 9,505,804.20/4,972.43
  6. Step 6: Final answer
    x = 1,911.70

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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.