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Finding the Fourth Proportional to 5,196.78, 7,794.23 and 1,498.10

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Solution

The fourth proportional to 5,196.78, 7,794.23 and 1,498.10 is: 2,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.78 : 7,794.23 = 1,498.10 : x
  2. Step 2: Convert to fraction form
    5,196.78/7,794.23 = 1,498.10/x
  3. Step 3: Cross multiply
    5,196.78x = 7,794.23 × 1,498.10
  4. Step 4: Simplify right side
    5,196.78x = 11,676,535.96
  5. Step 5: Solve for x
    x = 11,676,535.96/5,196.78
  6. Step 6: Final answer
    x = 2,246.88

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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.