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Finding the Fourth Proportional to 5,196.26, 7,798.08 and 4,028.96

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Solution

The fourth proportional to 5,196.26, 7,798.08 and 4,028.96 is: 6,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.26 : 7,798.08 = 4,028.96 : x
  2. Step 2: Convert to fraction form
    5,196.26/7,798.08 = 4,028.96/x
  3. Step 3: Cross multiply
    5,196.26x = 7,798.08 × 4,028.96
  4. Step 4: Simplify right side
    5,196.26x = 31,418,152.40
  5. Step 5: Solve for x
    x = 31,418,152.40/5,196.26
  6. Step 6: Final answer
    x = 6,046.30

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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.