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Finding the Fourth Proportional to 5,034.62, 7,544.64 and 2,838.68

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Solution

The fourth proportional to 5,034.62, 7,544.64 and 2,838.68 is: 4,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.62 : 7,544.64 = 2,838.68 : x
  2. Step 2: Convert to fraction form
    5,034.62/7,544.64 = 2,838.68/x
  3. Step 3: Cross multiply
    5,034.62x = 7,544.64 × 2,838.68
  4. Step 4: Simplify right side
    5,034.62x = 21,416,819.89
  5. Step 5: Solve for x
    x = 21,416,819.89/5,034.62
  6. Step 6: Final answer
    x = 4,253.91

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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.