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Finding the Fourth Proportional to 5,097.74, 7,638.39 and 3,145.82

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Solution

The fourth proportional to 5,097.74, 7,638.39 and 3,145.82 is: 4,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.74 : 7,638.39 = 3,145.82 : x
  2. Step 2: Convert to fraction form
    5,097.74/7,638.39 = 3,145.82/x
  3. Step 3: Cross multiply
    5,097.74x = 7,638.39 × 3,145.82
  4. Step 4: Simplify right side
    5,097.74x = 24,029,000.03
  5. Step 5: Solve for x
    x = 24,029,000.03/5,097.74
  6. Step 6: Final answer
    x = 4,713.66

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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.