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Finding the Fourth Proportional to 5,196.90, 7,794.37 and 1,397.59

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Solution

The fourth proportional to 5,196.90, 7,794.37 and 1,397.59 is: 2,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.90 : 7,794.37 = 1,397.59 : x
  2. Step 2: Convert to fraction form
    5,196.90/7,794.37 = 1,397.59/x
  3. Step 3: Cross multiply
    5,196.90x = 7,794.37 × 1,397.59
  4. Step 4: Simplify right side
    5,196.90x = 10,893,333.57
  5. Step 5: Solve for x
    x = 10,893,333.57/5,196.90
  6. Step 6: Final answer
    x = 2,096.12

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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.