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Finding the Fourth Proportional to 5,097.14, 7,636.86 and 2,758.76

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Solution

The fourth proportional to 5,097.14, 7,636.86 and 2,758.76 is: 4,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.14 : 7,636.86 = 2,758.76 : x
  2. Step 2: Convert to fraction form
    5,097.14/7,636.86 = 2,758.76/x
  3. Step 3: Cross multiply
    5,097.14x = 7,636.86 × 2,758.76
  4. Step 4: Simplify right side
    5,097.14x = 21,068,211.92
  5. Step 5: Solve for x
    x = 21,068,211.92/5,097.14
  6. Step 6: Final answer
    x = 4,133.34

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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.