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Finding the Fourth Proportional to 5,295.12, 7,307.46 and 3,198.84

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Solution

The fourth proportional to 5,295.12, 7,307.46 and 3,198.84 is: 4,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.12 : 7,307.46 = 3,198.84 : x
  2. Step 2: Convert to fraction form
    5,295.12/7,307.46 = 3,198.84/x
  3. Step 3: Cross multiply
    5,295.12x = 7,307.46 × 3,198.84
  4. Step 4: Simplify right side
    5,295.12x = 23,375,395.35
  5. Step 5: Solve for x
    x = 23,375,395.35/5,295.12
  6. Step 6: Final answer
    x = 4,414.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.