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Finding the Fourth Proportional to 5,198.58, 7,168.50 and 4,445.28

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Solution

The fourth proportional to 5,198.58, 7,168.50 and 4,445.28 is: 6,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.58 : 7,168.50 = 4,445.28 : x
  2. Step 2: Convert to fraction form
    5,198.58/7,168.50 = 4,445.28/x
  3. Step 3: Cross multiply
    5,198.58x = 7,168.50 × 4,445.28
  4. Step 4: Simplify right side
    5,198.58x = 31,865,989.68
  5. Step 5: Solve for x
    x = 31,865,989.68/5,198.58
  6. Step 6: Final answer
    x = 6,129.75

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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.